With an average speed of 60 km/h, a vehicle could travel a distance in 40 minutes. In order to reach the same distance in 25 minutes, what should the average speed be?

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86 km/h

92 km/h

96 km/h

98 km/h

answer is C.

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Detailed Solution

It is given that a vehicle could travel a distance in 40 minutes with an average speed of 60 km/h.
We know that two variables are said to be inversely proportional if and only if they are directly proportional to one another's reciprocal. If

x and y

are two variables in inverse variations, then

x y = k,

where k is a proportionality constant.
Let the vehicle's average speed in order to complete a distance in 25 min is

x .

From the given data, we can draw a table as,

Average speed of vehicle (in km/h)	60	x
Time taken by vehicle (in minutes)	40	25

Since on increasing the average speed, there will be a decrease in the time taken, therefore this is a case of inverse proportion.
Thus,

60 × 40 = x × 25 ⇒ x = 60 × 40 25 ⇒ x = 96

Therefore, the vehicle's speed needs to be 96 km/h in order to complete the same distance in 25 minutes.
Hence, option (3) is correct.

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