Sara cycled a route at an average speed of $pq$ mi... | Free GMAT Practice Question | GMAT Panda

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Sara cycled a route at an average speed of pq miles per hour for r hours. Tony completed the same route in \frac{2}{5} r hours. What was Tony's average speed, in miles per hour?

Explanation	Calculations	Help
$We first use the distance formula to find the total distance of the route in terms of the given variables.$	$D = (pq) \times r$	Theory & Tactics Method Card TRANS3-C Click to view full details
$We then express Tony's average speed as the distance divided by his travel time.$	$v = \frac{D}{\frac{2}{5} r}$	Theory & Tactics Method Card TRANS3-C Click to view full details
$Substitute D = pq r and simplify to find v .$	$v = \frac{D}{\frac{2}{5} r} = \frac{5 D}{2 r} = \frac{5 ( pq r )}{2 r} = \frac{5 pq}{2}$

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D

Sara cycled a route at an average speed of pq miles per hour for r hours. Tony completed the same route in \frac{2}{5} r hours. What was Tony's average speed, in miles per hour?

Explanation	Calculations	Help
$We first use the distance formula to find the total distance of the route in terms of the given variables.$	$D = (pq) \times r$	Theory & Tactics Method Card TRANS3-C Click to view full details
$We then express Tony's average speed as the distance divided by his travel time.$	$v = \frac{D}{\frac{2}{5} r}$	Theory & Tactics Method Card TRANS3-C Click to view full details
$Substitute D = pq r and simplify to find v .$	$v = \frac{D}{\frac{2}{5} r} = \frac{5 D}{2 r} = \frac{5 ( pq r )}{2 r} = \frac{5 pq}{2}$

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D