GMAT Word Problems: The readout indicated…

Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec , she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?

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Explanation	Calculations	Help
$At 10% completion, the remaining time displayed is 90% of the total exercise duration .$	$0.9 T = 24 \times 60 + 18$
$Convert the remaining time of 24 minutes 18 seconds to total seconds.$	$24 \times 60 + 18 = 1458$
$Solve for the total time by dividing both sides by 0.9, rewriting as a fraction and canceling common factors.$	$T = \frac{1458}{0.9} = \frac{1458}{\frac{9}{10}} = 1458 \times \frac{10}{9} 1458 = 9 \times 162 \frac{1458}{9} = \frac{9 \times 162}{9} = 162 T = 162 \times 10 = 1620$
$At 40% completion, 60% of the total time remains. This uses the Percents of method to calculate 60% of 1620 .$	$0.6 \times 1620 = 972$
$Convert 972 seconds back into minutes and seconds.$	$972 \div 60 = 16 remainder 12 = 16 min 12 sec$

16 min 12 sec (E)

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