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.

Step-by-step 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{ }* 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.

`(9t)/(9)=(26)/(9)`
`t=(26)/(9)`
`t=(26)/(9)hours`
`t=(2+(8)/(9))hours`
`t=2\text{ hours and }+(8)/(9)*60\text{ minutes}`
`t=2\text{ hours and 53 minutes}`

Final answer:

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