A boat goes 32 miles downstream in two hours. The return trip againts the current takes sixteen hours. Find the rate of the boat in calm water and the rate of the current.
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A boat goes 32 miles downstream in two hours. The return trip againts the current takes sixteen hours. Find the rate of the boat in calm water and the rate of the current.
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Explanation:
Vc = velocity of stream
Vb = velocity of boat
in downstream,
V= D/T
D = V x T
32 = ( Vc + Vb ) x 2----------1
in upstream,
32 = ( Vc - Vb) x 16 -----------2
( Vc - Vb) x 16 = ( Vc + Vb) x 2
14Vc = 18Vb
Vc /Vb = 9/7
equation 1
32 = Vb ( 9/7 +1) x 2
32 = Vb ( 16/7) x 2
31 = Vb (32/7)
Vb = 7 miles / hour
Vc = 9 miles / hour