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If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are ________?
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Explanation & Answer
Let the speed of boat be x mph and speed of river be y mph.
Speed downstream=(x+y)mph
Time taken to go 72 miles=72/(x+y)=3
So, x+y=24 ……………(1)
Speed upstream=(x-y)mph
Time taken to go 60 miles=60/(x-y)=6
So, x-y=10 ………………(2)
Adding eq (1) and (2)
2x=34
x=17 mph
So y=7 mph
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