A-man rows upstream in a river. When he covered 1 km from starting point his hat fell
down and started to move downstream the man kept swimming upstream for 5 minutes
but realised he has dropped his hat then rows downstream to catch the hat. Finally, the hat
and man meet at start. Find the speed of flow of river.
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Answer:
5 km is the limit of the the river
Answered by
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Answer:
The Speed of the flow of river is 6 km/hr.
Step-by-step explanation:
Let the speed of the river be x and boat be y.
The speed upstream = y-x
While coming downstream his speed was = y+x
∵ The man and the hat meet at the starting point,
Distance travelled downstream = distance travelled upstream
∴ Distance travelled upstream for 5 mins = Speed dowstream * time = (y-x) × 5 [∵distance = speed×time]
∴ Total distance travelled upstream = 1 + {(y-x) × 5}
∴ Distance travelled downstream = (y+x) × 5
∵ Distance travelled downstream = distance travelled upstream
⇒ (y+x) × 5 = 1 + {(y-x) × 5}
⇒ 5y + 5x = 1 + 5y - 5x
⇒ 10x = 1
⇒ x = 1/10 km/min = (1/10) * 60 = 6 km/hr
∴ The Speed of the flow of river is 6 km/hr.
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