## 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__

__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__

__To Find__

We need to determine

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

__Approach & Working__

__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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