What will be the Speed of Car? If

A train can travel 50% faster than a 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, however, the train lost about 12.5 minutes while stopping at the station. The speed of the car is:

  1. 100 km/h
  2. 110 km/h
  3. 120 km/h
  4. 130 km/h
Anurag Mishra Professor Asked on 25th July 2015 in Maths.
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1 Answer(s)
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Answer: (3) 120 km/hr
Explanation:-
Let the speed of the car = X km/hr
The train can travel 50 % than the car,
Then, the speed of the car = X + X x 50/100
= X + X/2
= 3 X/2 km/hr
The train lost about 12.5 minutes,
Therefore,
75/X – 75/(3X/2) = 125/10 x 60
75/X – 75 x 2/3 X = 5/24
75/X – 50/X = 5/24
25/X = 5/24
X = 24 x 25/5
X = 120 km/hr
Hence, the answer is (3) 120 km/hr.

Anurag Mishra Professor Answered on 25th July 2015.
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