Question

marcus can drive his boat 24 miles down the river in 2 hours but takes 3 hours to return upstream. find the rate of the boat in still water and the rate of the current​

Answer 1

Answer:

Rate in still water = 10 mph

Rate in current = 2 mph

Step-by-step explanation:

down stream

distance = 24 miles; time = 2 hours

speed = 24/2 = 12 mph

up stream

distance = 24 miles; time = 3 hours

speed = 24/3 = 8 mph

• Rate in still water = $\frac{1}{2} [(speed in down stream + speed in upstream)]$

= 1/2(12+8)

=1/2(20)

=10 mph

• Rate in current = $\frac{1}{2} [(speed in down stream - speed in upstream )]$

= 1/2(12-8)

=1/2(4)

=2 mph