Question

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. ​

Answer 1

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