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 2/3 h hours, what was her average speed in miles per hour?

GMAT Panda · Accepted Answer

3m We first use the distance formula to find the total distance of the trip in terms of the given variables. D = (2m) h We then express Ruth's average speed as the distance divided by her travel time. v = D2/3h Substitute D = 2mh and simplify to find v. v = 3D/2h = 3(2mh)/2h = 3m

Explanation	Calculations	Help
$We first use the distance formula to find the total distance of the trip in terms of the given variables.$	$D = (2 m) \times h$
$We then express Ruth's average speed as the distance divided by her travel time.$	$v = \frac{D}{\frac{2}{3} h}$
$Substitute D = 2 mh and simplify to find v .$	$v = \frac{3 D}{2 h} = \frac{3 ( 2 mh )}{2 h} = 3 m$

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