Carlos averaged $5a$ kilometers per hour on a jour... | Free GMAT Practice Question | GMAT Panda

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Carlos averaged 5 a kilometers per hour on a journey that took him t hours. If Diana completed the same journey in \frac{3}{4} t hours, what was her average speed in kilometers per hour?

Explanation	Calculations	Help
$We first use the distance formula to find the total distance of the journey.$	$D = (5 a) \times t$	Theory & Tactics Method Card TRANS3-C Click to view full details
$We then express Diana's average speed as the distance divided by her travel time.$	$v = \frac{D}{\frac{3}{4} t}$	Theory & Tactics Method Card TRANS3-C Click to view full details
$Substitute D = 5 a t and simplify to find v .$	$v = \frac{4 D}{3 t} = \frac{4 ( 5 a t )}{3 t} = \frac{20}{3} a$

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B

Carlos averaged 5 a kilometers per hour on a journey that took him t hours. If Diana completed the same journey in \frac{3}{4} t hours, what was her average speed in kilometers per hour?

Explanation	Calculations	Help
$We first use the distance formula to find the total distance of the journey.$	$D = (5 a) \times t$	Theory & Tactics Method Card TRANS3-C Click to view full details
$We then express Diana's average speed as the distance divided by her travel time.$	$v = \frac{D}{\frac{3}{4} t}$	Theory & Tactics Method Card TRANS3-C Click to view full details
$Substitute D = 5 a t and simplify to find v .$	$v = \frac{4 D}{3 t} = \frac{4 ( 5 a t )}{3 t} = \frac{20}{3} a$

Scroll horizontally to view all columns

B