Posted by **Punkin** on Tuesday, June 15, 2010 at 11:28pm.

how long will it take a bus travelling at 60 miles per hour to overtake a car travelling at 40 mph if the car had a 1.5 hour head start

- math -
**PsyDAG**, Wednesday, June 16, 2010 at 1:58am
Let x = the time to overtake

60x = 1.5 + 40x

Solve for x.

- math -
**Reiny**, Wednesday, June 16, 2010 at 8:48am
Let the time taken by the bus for the trip be t hours

Let the time taken by the car for the trip be t+1.5

distance covered by bus = 60t

distance covered by car = 40(t+1.5)

60t = 40(t+1.5)

60t = 40t + 60

20t = 60

t = 3

bus goes for 3 hours and the car for 4.5 hours

check:

3x60 = 180

4.5x40 = 180

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