Rajat has applied for SBI PO exam and he is allotted a centre in a city X, which is 700 km away for the written exam. First he goes 240 km by train and then 360 km by bus. He then takes a cab to travel the remaining distance. It takes him a total of 10.8 hours to reach city X. The speeds of the train and the bus were 60 km/hr and 90 km/hr, respectively. Having cleared the written exam, Rajat now has to go to the same place for interview. This time, the bus is 25% faster; and the train is 10% slower. The cab is now 10% faster, however, stops for 18 minutes after every hour. How much less time would Rajat take to reach the destination if the distances travelled by the train, bus and the cab are the same in both the cases?

The remaining distance for the cab is 700 minus 240 minus 360, which equals 100 km. In the first trip, the time taken is 240 divided by 60 plus 360 divided by 90 plus 100 divided by the cab speed, which equals a total of 10.8 hours; this makes the first cab time 0.8 hours and its speed 125 km per hr. For the return trip, the train speed is 54 km per hr, the bus speed is 112.5 km per hr, and the cab speed is 137.5 km per hr; taking the 18 minute stops into account, the train takes 4.44 hours, the bus takes 3.2 hours, and the cab takes 1.46 hours, summing to 10.6 hours. The difference is 10.8 hours minus 10.6 hours, which equals 0.2 hours, and 0.2 hours multiplied by 3600 is 72 seconds.

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