Question

Alexander and Judy are 26 miles apart on a calm lake paddling toward each other. Alexander paddles at 3 milesper hour, while Judy paddles at 6 miles per hour. How long will it take them to meet?

Answer 1

Given:

Alexander and Judy are 26 miles apart on a calm lake paddling toward each other.

Alexander paddles at 3 miles per hour, while Judy paddles at 6 miles per hour.

Required:

We need to find the number of hours taken to meet each other.

Explanation:

When they meet each other, both together should cover the distance of 26 miles at the same time.

Consider the formula.

$distance=speed\text{ }\times time$

Let t be the time taken by both to meet each other.

$Distance\text{ covering by Alexander =3t}$$Distance\text{ covering by Judy =6t}$$3t+6t=26$$9t=26$

Divide both sides of the equation by 9.

$\frac{9t}{9}=\frac{26}{9}$$t=\frac{26}{9}$$t=\frac{26}{9}hours$$t=(2+\frac{8}{9})hours$$t=2\text{ hours and }+\frac{8}{9}\times60\text{ minutes}$$t=2\text{ hours and 53 minutes}$

Final answer:

They will take 2 hours 53 minutes to meet each other.