NIMCET 2020 — Reasoning PYQ

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Question

NIMCET 2020 — Reasoning PYQ

NIMCET | Reasoning | 2020

Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10minutes more than the time taken to cover the remaining distance. How far is his office?

Choose the correct answer:

Explanation

Given:
The average speed of Mr. Kumar=48 km/h
The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance
Concept used:
Time= Distance/ Speed
Calculations:
Let the total distance be x
$60%$ of the distance $= x \times 60/100 = 3 x /5$
Time taken by Mr. Kumar to cover 3x/5 distance $= \frac{3 x}{5 \times 48} = x/80$
Remaining distance $= x - 3 x /5 = 2 x /5$
Time taken by Mr. Kumar to cover 2x/5 distance $= \frac{2 x}{5 \times 48} = x /120$
According to the question $\Rightarrow (x /80) - (x /120) = 10/60$ $\Rightarrow (3 x - 2 x) /240 = 10/60$ $\Rightarrow x = 40$
$∴$ The distance of office is 40 kms