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## OGQR 2020: Question No. 82

Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in (2/3)h hours, what was her average speed in miles per hour?

 Source OGQR 2020 Type Problem Solving Topic Word Problems Sub-Topic Distance Difficulty Easy-Medium

### Solution

#### Given

In this question, we are given

• Carl averaged 2m miles per hour on a trip that took him h hours.
• Ruth made the same trip in (2/3)h hours

#### To Find

We need to determine

• The average speed of Ruth, in miles per hour.

#### Approach & Working

Both of them are making the same trip, hence, the distance covered by both of them will be the same.

• Distance covered by Carl = 2m * h miles = 2mh miles
• Distance covered by Ruth = speed of Ruth * (2/3)h miles

As the distance is the same, we can write

• 2mh = speed of Ruth * (2/3)h

Or, speed of Ruth = 3m

Hence, the correct answer is option E.

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