A cruise boat travels 48 miles Downstream in 2 hours and returns Upstream in 3 hours. Find the speed of the boat in still water and the rate

Question

A cruise boat travels 48 miles Downstream in 2 hours and returns Upstream in 3 hours. Find the speed of the boat in still water and the rate of the Stream.

0

Answers ( No )

    0
    2021-09-10T17:51:08+00:00

    Let x be the speed of the boat in still water and y be the speed of the current of the river.
    The downstream speed will be x+y, the upstream speed will be x-y.
    but:
    distance=speed*time
    therefore; as the boat travels in 2 hours downstream we shall have:
    2(x+y)=48……i
    and as the boat travels upstream we shall have:
    3(x-y)=48……..ii
    simplifying i and ii we get:
    x+y=24….iii
    x-y=16….iv
    adding the above iii and iv we get
    2x=40
    x=40/2=20
    substituting x=20 into iii we obtain:
    20+y=24
    y=24-20
    y=4
    so the speed of the boat in  still waters is 20 miles per hour
    the rate of the stream is 4 miles per hour

Leave an answer

Browse
Browse