Question

Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 km/h slower than the other. If the two buses are 1393 kilometers apart after 7 hours, what is the rate of each bus?

Answer 1

First Bus = x

Second Bus = x-15

They are going in opposite directions, so, we have to add the speeds:

x+x-15 = 2x-15

Time = 7 hours

Distance = speed * time

1393 = (2x-15)7

1393 = 2x(7)-15(7)

1393 = 14x-105

1393+105 = 14x

1498 =14x

1498/14 = x

107 =x

First bus: 107 km/h

Second bus = x-15 = 107-15 = 92 km/h