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17 Jul 2019, 01:35
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E
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85% (01:39) correct
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[GMAT math practice question]
Tom travels the same distance in \(4\) steps as Alice travels in \(5\) steps. If the length of one of Alice’s steps is \(36 cm\), what distance, in \(cm\), does Tom cover in \(18\) steps?
\(A. 5184\)
\(B. 3688\)
\(C. 1800\)
\(D. 1243\)
\(E. 810\)
Tom travels the same distance in \(4\) steps as Alice travels in \(5\) steps. If the length of one of Alice’s steps is \(36 cm\), what distance, in \(cm\), does Tom cover in \(18\) steps?
\(A. 5184\)
\(B. 3688\)
\(C. 1800\)
\(D. 1243\)
\(E. 810\)
17 Jul 2019, 01:38
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MathRevolution
Let length of TOM's step be t cm
4t = 5*36 = 180 cm
t=45 cm
18t = 45*18 = 810 cm
IMO E
17 Jul 2019, 04:15
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MathRevolution
Since each of Alice's steps = 36 cm, the distance traveled by Alice in 5 steps = 5*36 = 180 cm.
Since Tom requires only 4 steps to travel this 180-cm distance, each of Tom's steps = 180/4 = 45 cm.
Thus, the distance traveled by Tom in 18 steps = 18*45 = 810 cm.
.
