Speed, distance and time

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Speed, distance and time

by rajan_agarwal » Mon Dec 07, 2015 3:03 am
Q. A train can travel 50% faster than car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way train lost 12.5 minutes while stopping at stations. The speed of the car is ?

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by MartyMurray » Mon Dec 07, 2015 3:55 am
Speed of car = R

Speed of train = 1.5 R

Time car took = T

RT = 75
1.5R(T - 12.5) = 75 -> 1.5RT - 18.75R = 75

Multiply RT = 75 by 1.5 and subtract the other equation.

1.5RT = 107.5
1.5RT - 18.75R = 75

18.75R = 37.5

R = 2
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