Question

Two buses leave a station at the same time and travel in opposite directions. One bus travels 14 kmh slower than the other. If the two buses are 1356 kilometers apart after 6 hours, what is the rate of each bus?

Answer 1

106 km / hour

Explanation:

Givens

Total time: 6 hours

Total distance: 1356 km

First bus rate: r

Second bus rate: r - 14

Formula

d = r * t

Solution

r*6 + (r - 14)*6 = 1356 Remove the brackets

6*r + 6*r - 84 = 1356 Add like terms

12r - 84 = 1356 Add 84 to both sides

12r + 84 - 84 = 1356-84 Combine

12r = 1272 Divide by 12

r = 1272/12

r = 106 km/hr