How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 27 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec
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D = 120 + 150 = 270
S = 36 * 5/18 = 10 mps
T = 270/10 = 27 sec So the answer is: (A).
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Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 70 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles
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Answer = B. 70 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 20 miles, so effective difference = 90 - 20 = 70 miles So the answer is: (B).
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One man selling a lottery there are 10 prizes and 25 no prizes. if a lottery is drawn randomly, What is the probability of getting a prize?
Options:
(A) 1/5
(B) 2/7
(C) 2/9
(D) 3/11
(E) 4/11
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Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
P (getting a prize) = 10 = 10 = 2/7
(10 + 25) 35 So the answer is: (B).
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