d = rt, so t = d/r
Upstream, r = boat speed - current speed
Downstream, r = boat speed + current speed
The times are the same
20/(8 - c) = 44/(8 + c)
Cross multiply.
20(8 + c) = 44(8 - c)
160 + 20c = 352 - 44c
64c = 192
c = 3 mph
Emani B.
asked 02/22/19connie's boat travels at 8mph. find the rate of the current of the river if she can travel 20 milea upstream in the same time she can travel 44 miles downstream
d = rt, so t = d/r
Upstream, r = boat speed - current speed
Downstream, r = boat speed + current speed
The times are the same
20/(8 - c) = 44/(8 + c)
Cross multiply.
20(8 + c) = 44(8 - c)
160 + 20c = 352 - 44c
64c = 192
c = 3 mph
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