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Question -

A car moves a distance of 2592 km with uniform speed. The number of hours taken for the journey is one-half the number representing the speed, in km/ hour. Find the time taken to cover the distance. [CBSE 2017]



Answer -

Distance = 2592 km
Let the speed of the car = x km/hr
and time taken = x2 hour
We have, Distance = Speed x Time
2592 = x x (x/2)
=> 2592 = x2/2
=> x2 = 2592 x 2
=> x = √5184
=> x = 72 km/hr
and thus time taken = x/2 h = 72/2 = 36 hour

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