MAT 2007 Question Paper

Question 50

A train after travelling 150 km meets with an accident and then proceeds at 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 km further, it would have reached the destination 4 hours late. What is the total distance travelled by the train ?

Solution

Let the speed of the train be v km/hr and the total distance travelled be d kms and the time taken to reach the destination if no accident occured = t hours.

150/v + d-150/0.6v = t + 8

510/v + d-510/0.6v = t + 4

Solving, the above equations, we get: Subtract equation 1 from 2,

d = 870 kms


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