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Question
An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is ______.
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Solution
An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is 2 h 15 min.
Explanation:
An auto rickshaw takes 3 h to cover a distance of 36 km.
Then, its speed = `36/3` = 12 km/h ...`[∵ "Speed" = "Distance"/"Time"]`
If its speed = 12 + 4 = 16 km/h
Now, timetaken by auto rickshaw to cover 36 km in `36/16` h
= `(36 xx 60)/16`
= 135 min
= 2 × 60 + 15
= 2 h 15 min ...[∵ 1 h = 60 min]
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