A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?

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42 km/hr

20 km/hr

30 km/hr

25 km/hr

answer is A.

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Detailed Solution

Concept- In this question, a train travels a certain distance at one speed and another distance at another speed. However, each travel distance is time-consuming and the travel events are continuous, so the total time is the sum of the first 63 km and the next 72 km.
The train runs at the original average speed of 63 km and 6 km / h higher than the next 72 km, so the original average speed can be considered as x km /h.
Time taken by the train to travel the first 63 km =

Time taken by the train to travel the next 72 km=

Therefore,