A cable $18.2$ meters long is cut into two pieces.... | Free GMAT Practice Question | GMAT Panda

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A cable 18.2 meters long is cut into two pieces. If the length of one piece is 5.4 meters shorter than the length of the other, what is the length, in meters, of the longer piece?

Explanation	Calculations	Help
$We first create variables to represent the lengths of the two cable pieces.$	$x = length of the longer piece$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the total length of the cable from the text "A cable 18.2 meters long is cut into two pieces" .$	$x + y = 18.2$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate the relative difference from the text "the length of one piece is 5.4 meters shorter than the length of the other" .$	$y = x - 5.4$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We substitute the expression for y into the total length equation and solve for x .$	$x + (x - 5.4) = 18.2 2 x - 5.4 = 18.2 2 x = 18.2 + 5.4 2 x = 23.6 x = 11.8$	Theory & Tactics Method Card EQUA1-A Click to view full details

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C

A cable 18.2 meters long is cut into two pieces. If the length of one piece is 5.4 meters shorter than the length of the other, what is the length, in meters, of the longer piece?

Explanation	Calculations	Help
$We first create variables to represent the lengths of the two cable pieces.$	$x = length of the longer piece$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the total length of the cable from the text "A cable 18.2 meters long is cut into two pieces" .$	$x + y = 18.2$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate the relative difference from the text "the length of one piece is 5.4 meters shorter than the length of the other" .$	$y = x - 5.4$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We substitute the expression for y into the total length equation and solve for x .$	$x + (x - 5.4) = 18.2 2 x - 5.4 = 18.2 2 x = 18.2 + 5.4 2 x = 23.6 x = 11.8$	Theory & Tactics Method Card EQUA1-A Click to view full details

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C