# Solving Distance Word Problems

Therefore in 5 days they ploughed \cdot 4 \cdot x = 20 \cdot x$hectares, which equals the area of the whole field, 2880 hectares. Hence, each of the four tractors would plough 144 hectares a day.Problem 7 The distance between two towns is 380 km.If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon? This must be equal to 360.x = 360$$x = \frac$$x = 120$ Therefore, the salesman sold 120 kg in the morning and \cdot 120 = 240$kg in the afternoon. Together the three of them picked 26 kg of chestnuts. So$x 2x x 2=26$x=24$$x=6$ Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.

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Then she has $x-\frac\cdot x=\frac\cdot x$ pages left.

$\frac\cdot x-\frac\cdot x=90$ $\frac\cdot x=90$ $x=270$So the book is 270 pages long.

The trains are heading toward one another on a track that's 1,300 miles long.

Therefore, they must collide when, together, both trains have traveled a total of 1,300 miles.

Problem 4A farming field can be ploughed by 6 tractors in 4 days.

When 6 tractors work together, each of them ploughs 120 hectares a day.

If these trains are inadvertently placed on the same track and start exactly 1,300 miles apart, how long until they collide?

"If that problem sounds familiar, it's probably because you watch a lot of television (like me).

Solution: Let x be the amount of milk the first cow produced during the first year.

Then the second cow produced $(8100 - x)$ litres of milk that year.

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