A metal rod $15.4$ meters long is cut into two seg... | Free GMAT Practice Question | GMAT Panda

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A metal rod 15.4 meters long is cut into two segments. If one segment is 3.2 meters shorter than the other, what is the length, in meters, of the longer segment?

Explanation	Calculations	Help
$We first create a variable to represent the length of the longer rod segment.$	$x = length of the longer segment$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the total length from the text "A metal rod 15.4 meters long is cut into two segments" .$	$x + y = 15.4$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate the relative difference from the text "one segment is 3.2 meters shorter than the other" .$	$y = x - 3.2$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We substitute the expression for y into the total length equation and solve for x .$	$x + (x - 3.2) = 15.4 2 x - 3.2 = 15.4 2 x = 15.4 + 3.2 2 x = 18.6 x = \frac{18.6}{2} = 9.3$	Theory & Tactics Method Card EQUA1-A Click to view full details

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C

A metal rod 15.4 meters long is cut into two segments. If one segment is 3.2 meters shorter than the other, what is the length, in meters, of the longer segment?

Explanation	Calculations	Help
$We first create a variable to represent the length of the longer rod segment.$	$x = length of the longer segment$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the total length from the text "A metal rod 15.4 meters long is cut into two segments" .$	$x + y = 15.4$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate the relative difference from the text "one segment is 3.2 meters shorter than the other" .$	$y = x - 3.2$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We substitute the expression for y into the total length equation and solve for x .$	$x + (x - 3.2) = 15.4 2 x - 3.2 = 15.4 2 x = 15.4 + 3.2 2 x = 18.6 x = \frac{18.6}{2} = 9.3$	Theory & Tactics Method Card EQUA1-A Click to view full details

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C