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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?

User Postylem
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1 Answer

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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.

Alexander and Judy are 26 miles apart on a calm lake paddling toward each other. Alexander-example-1
User Steve Lancashire
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