SSC CGL 2012 Tier 1

Question 111

With average speed of 40 km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey is

Solution

Let the time and distance be t mins and d km respectively,
If it goes with an average speed of 40 km/hour, a train reaches its destination in time.
So, distance = (40*t)/60
If it goes with an average speed of 35 km hour, it is late by 15 minutes.
So, distance = 35*(t+15)/60
In both the cases, distance is same,
So,  40*t = 35*(t+15)
Solving the above equation gives t = 105
and d = (40*105)/60 = 70


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