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A can travelling at a speed of 40 km/h can complete a journey in 9 hours. How long will it take to travel the same distance at 60 km/h?
Question

A can travelling at a speed of 40 km/h can complete a journey in 9 hours. How long will it take to travel the same distance at 60 km/h?

A.

6 hours

B.

5 hours

C.

4 hours

D.

3 hours

Correct option is A

Given:

Speed₁ = 40 km/h, Time₁ = 9 hours
Speed₂ = 60 km/h
Distance is constant in both cases.

Concept Used:

When distance is constant, time is inversely proportional to speed.

Formula Used:

Time2=Speed1Speed2×Time1\text{Time}_2 = \frac{\text{Speed}_1}{\text{Speed}_2} \times \text{Time}_1​​

Solution:

Time2=4060×9=23×9=6 hours\text{Time}_2 = \frac{40}{60} \times 9 = \frac{2}{3} \times 9 = 6 \text{ hours}​​

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