Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
Let x be the number of minutes it takes Yolanda's husband to catch her.
We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband.
The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x
Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x
We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x
Then we can subtract 20x from each side to get 300 = 20x
Finally, we divide both sides by 20 to find that x = 15.
#### 15
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?
user
There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. The answer is 5.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?
user
There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. The answer is 5.
assistant
Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?
user
Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. The answer is 39.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?
user
There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. The answer is 5.
assistant
Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?
user
Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. The answer is 39.
assistant
Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?
user
Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. The answer is 8.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?
user
There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. The answer is 5.
assistant
Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?
user
Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. The answer is 39.
assistant
Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?
user
Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. The answer is 8.
assistant
Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?
user
Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. The answer is 9.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?
user
There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. The answer is 5.
assistant
Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?
user
Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. The answer is 39.
assistant
Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?
user
Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. The answer is 8.
assistant
Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?
user
Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. The answer is 9.
assistant
There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?
user
There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. The answer is 29.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?
user
There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. The answer is 5.
assistant
Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?
user
Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. The answer is 39.
assistant
Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?
user
Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. The answer is 8.
assistant
Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?
user
Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. The answer is 9.
assistant
There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?
user
There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. The answer is 29.
assistant
Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?
user
Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. The answer is 33.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user
There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?
user
There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. The answer is 6.
assistant
If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?
user
There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. The answer is 5.
assistant
Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?
user
Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. The answer is 39.
assistant
Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?
user
Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. The answer is 8.
assistant
Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?
user
Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. The answer is 9.
assistant
There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?
user
There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. The answer is 29.
assistant
Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?
user
Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. The answer is 33.
assistant
Olivia has $23. She bought five bagels for $3 each. How much money does she have left?
user
Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. The answer is 8.
assistant
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
user