Question 58
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 60 km away from point A, at the same time. On the way, however, the train lost about 12.5 min while stopping at the stations. The speed of the car is:
Solution
Let the speed of the car =S
Then speed of the train =3S/2
They travel same distance and reach at the same point but due to stoppages train looses 12.5 minutes
time taken for car to travel 60 km=60/S
Therefore (60/(3S/2))+12.5/60=(60/S)
40/S + 12.5/60=60/S
20/S=5/24
S=24*4
S=96 km/hr
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