GMAT Practice Question: Carl averaged 2 m miles per hour on a trip that took him h...
Question
Carl averaged 2 m miles per hour on a trip that took him h hours. If Ruth made the same trip in \frac{2}{3} h hours, what was her average speed in miles per hour?
- \frac{1}{3} m h
- \frac{2}{3} m h
- m
- \frac{3}{2} m
- 3 m
Topics: word problems, rates, translations
Solution
Step 1
We first use the distance formula to find the total distance of the trip in terms of the given variables.
D = (2m) \times h
Step 2
We then express Ruth's average speed as the distance divided by her travel time.
v = \frac{D}{\frac{2}{3}h}
Step 3
Substitute D = 2mh and simplify to find v.
v = \frac{3D}{2h} = \frac{3(2mh)}{2h} = 3m
Answer
3m
