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Question

A bus covers a certain distance in 3 hours and 20 minutes at an average speed of 45km/h . How long will it take to cover the same distance of a speed of 36 km/h

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Solution

Given Speed=45km/hr and time=3 hr 20min=313 hours
Since, we have speed=DistanceTime .......(i)
Distance=speed × time.
Distance travelled in 313 hr =45×(313)
=45×103
=15×10
=150
Thus, the distance travelled in 3 hr 20 min is 150 km
Now, time required to cover the distance of 150 km with the speed of 36km/hr is =DistanceSpeed (from equation (i))
=15036
=4636
=416
=4 hr 10 min (since 16 hr=10 min)
Therefore, required time is =4 hr 10 min.


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