# How many kilometres from the starting point will the two vehicles draw level?

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A coach and a car set off from the same place to travel the same journey.

The coach sets off 10 minutes before the car.

If the coach travels at 70 km/h and the car travels at 90 km/h, how many kilometres from the starting point will the two vehicles draw level?

posted Feb 4, 2020

52.5 km

Required distance - x
Time the coach spends- t+10 min=t+1/6 hrs
Time the car spends- t
x=90*t=70t+70/6 ----> 20t=70/6 ----> t=7/12 hrs
x=90*7/12= 52.5 km

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