Question

Rihan went from Mumbai to Manali via Manipur by car.
The distance from Mumbai to Manipur is 4 times the
distance from Manipur to Manali. The average speed
from Mumbai to Manipur was half as much again as
that from Manipur to Manali. If the average speed for
the entire journey was 49 kmph. What was the average
speed from Manipur to Manali?​

Answer 1

Speed from manipur to manali will be 88.2 km/hr

Step-by-step explanation:

Let the distance between Manipur to manali is d

So distance from Mumbai to manipur is 4d

It is given that speed from Mumbai to manipur is half of speed from manipur to manali

Let the speed from manipur to manali is v

So speed from Mumbai to manipur will be $\frac{v}{2}$

Time taken from Mumbai to manipur $=\frac{4d}{\frac{v}{2}}=\frac{8d}{v}$

And time taken from manipur to manali $=\frac{d}{v}$

So total time $=\frac{8d}{v}+\frac{d}{v}=\frac{9d}{v}$

Total distance = 4d+d = 5d

Average speed is given as 49 kmph

Average speed is equal to ratio of total distance and total time

So $49=\frac{5d}{\frac{9d}{v}}$

v = 88.2 km/hr

So speed from manipur to manali is 88.2 km/hr

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