Question

A

A boat travels upstream for 24 miles in 4 hours and returns in 3 hours traveling downstream in a river. What
is the rate of the boat in still water and the rate of the current?
The rate of the boat in still water is
miles per hour.
The rate of the current is
miles per hour.

Answer 1

Explanation:

d = r * t

Let the rate of the boat in still water = x

Let the rate of the stream = y

Against the current

24 = (x - y)* 4 Divide both sides by 4

24/4 = x - y

6 = x - y

With the current

24 = (x + y )* 3 Divide both sides by 3

24/3 = (x + y)

8 = x + y

Put the two equations together

x - y = 6

x + y = 8 Add

2x = 14 Divide by 2

2x/2 = 14/2

x = 7

x + y = 8

7 + y = 8

y = 8 - 7

y = 1

The boat is going 7 miles per hour

The stream is going 1 mile per hour.