Question

The boat's speed in calm water is 22km/h. A boat takes the same time to travel 30 km upstream as it does to travel 50 km downstream. Find the speed of the river current.

Answer 1

Answer:

speed of river current = 5.5 km/h

Step-by-step explanation:

speed of boat given = 22 km/h

let the speed of river current be x km/h

when boat is traveling upstream i.e. against the river stream

speed of boat will be = ( 22 - x ) km/h

similarly, when boat is traveling downstream i.e. alog the river stream

speed of boat = ( 22 + x )km/h

acco. to problem,

time taken to trave 30 km upstream = time taken to travel 50 km downstream

30/(22-x) = 50/(22+x)

cross multiplying

30*(22+x) = 50*(22-x)

660+30x = 1100-50x

50x+30x=1100-660

80x=440

x=440/8

x=5.5

therefore, the speed of the river current is 5.5 km/h

Answer 2

Answer:

5.52 km/h

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