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A boat goes to 36 km downstream with the speed of the boat in still water 15 km/hr in still water and it goes to 28 km in upstream with the speed of 3/5 of the speed of the boat in still water. How much time was taken by the boat to cover the total distance, if the speed of the stream is 3 km/hr?

A boat goes to 36 km downstream with the speed of the boat in still water 15 km/hr in still water and it goes to 28 km in upstream with the speed of 3/5 of the speed of the boat in still water. How much time was taken by the boat to cover the total distance, if the speed of the stream is 3 km/hr? Correct Answer 6.66 hours

Relative speed of boat in downstream = 15 + 3 = 18 km/hr

Relative speed of boat in upstream = 15 × 3/5 – 3 = 6 km/hr

Time taken by boat in downstream = 36/18 = 2 hr

Time taken by boat in upstream = 28/6 = 4.66 hr

Total time = 2 + 4.66 = 6.66 hours

∴ The boat takes 6.66 hours to cover the total distance.

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