Question

Aidan took a 1020 km trip, travelling by Bus and By Train. The bus travelled at 105 km/h, and the train travelled at 160 km/h. The whole trip took 8 Hours. How Far did he travel on the train? Solve algebraically, and round your final answer to one decimal place.

Answer 1

523.6 km

Explanation:

Let x represent the distance traveled by train. Then 1020-x is the distance traveled by bus. The travel times are given by the relation ...

time = distance/speed

Then the total travel time in hours is ...

x/160 +(1020-x)/105 = 8

21x +32640 -32x = 26880 . . . . . multiply by 3360

5760 = 11x . . . . . . . . . add 11x -26880

523.6 ≈ x . . . . . . . . . . divide by 11

Aidan traveled about 523.6 km by train.