Question

A boat goes 24 miles at a constant speed in 4 hours against a river current.
It takes the boat 3 hours to go the same distance at the same speed with the
current of the river. What is the speed of the boat and what is the current of
the river?

Answer 1

The speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

A boat goes 24 miles at a constant speed in 4 hours against a river current.

It takes the boat 3 hours to go the same distance at the same speed with the current of the river.

Let's suppose the speed of the boat is x miles/hour and the current of the river is y

x- y = 24/4

x - y = 6 ..(1)

x + y = 24/3

x + y = 8  ..(2)

Adding equation (1) and (2):

2x = 14

x = 7 miles/hour

y = 8 - 7 = 1 miles/hour

Thus, the speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1