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.

  523.6 km

Step-by-step 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.

1

step-by-step explanation:

it's the only multiple of both and the least