Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is 3/4 times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was one and a half times that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr what was the average speed from Chandigarh to Shimla?

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39.2 km/hr

63 km/hr

42 km/hr

35 km/hr

answer is C.

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Detailed Solution

Let the distance from Chandigarh to Shimla is x km
According to the question,
The distance from Delhi to Chandigarh

= \frac{3}{4} x

Assume, Speed from Chandigarh to Shimla is y km/h.
According to the question,
Speed from Delhi to chandigarh =

\frac{3}{2} y

km/h
Now,
We know that

Speed = \frac{Distance}{Time}

So, Avg. speed is 42 km/h.

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