Question

A boat travels 7.5 km upstream and 20km downstream in 4 hrs and 30 minutes.The same boat takes two hours less to travel 10km downstream and 4.5

Answer 1

Explanation:

♡Let the speed of boat in still water be x km/hr and the speed of the current be y km/hr.

♡Speed of boat in downstream motion = (x + y) km/hr

♡Speed of boat in upstream motion = (x – y) km/hr

♡According to the question,

20/x+y+7.5/x−y=4.5

20/x+y+7.5/x−y=4.5 ----(1)

And,

10/x+y+4.5/x−y=2.5

10x+y+4.5/x−y=2.5 ----(2)

♡On solving eq.(1) and eq.(2), we get x = 6.5 km/hr and y = 3.5 km/hr

♡Speed of the boat downstream = x + y = 6.5 + 3.5 = 10km/hr

♡Speed of the boat upstream = x – y = 6.5 – 3.5 = 3km/hr

♡Difference in speed = 10 – 3 = 7km/hr

∴ The difference in speed of the boat in both the motions is 7 km/hr.

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