If a snail can move i inches in m minutes, then how many

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 am; Followed by:2 members

If a snail can move i inches in m minutes, then how many

by Gmat_mission » Sat Mar 24, 2018 4:19 am

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If a snail can move i inches in m minutes, then how many feet it can move in h hours?

A 5hi/m
B 60hi/m
C hi/12m
D 5m/hi
E 5him

[spoiler]OA=A[/spoiler].

How can I majke the transformation of units? Experts, can you show me how you'd solve it? Thanks.

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Source: Beat The GMAT — Problem Solving | Sat Mar 24, 2018 4:19 am

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[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pm; Location: Palo Alto, CA; Thanked: 2867 times; Followed by:511 members; GMAT Score:800

by [email protected] » Sat Mar 24, 2018 10:19 am

Hi Gmat_mission,

To start, I'm going to change the variable "i" to "L" (so that it will be easier to see that variable).

We're told that a snail can move L INCHES in M MINUTES. We're asked for the number of FEET the snail can move in H HOURS. This question can be solved by TESTing VALUES (although you have to pay careful attention to the UNITS involved).

IF...
L=2, M=3, then the snail moves 2 inches in 3 minutes... meaning it moves 40 inches in 60 minutes (re: 1 hour). So, H=1.

1 foot = 12 inches, so that snail will travel 40/12 feet in 1 hour. Thus, we're looking for an answer that equals 40/12 = 10/3 when we plug in L=2, M=3 and H=1 into the answers. There's only one answer that matches...

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Wed Mar 28, 2018 10:19 am

Gmat_mission wrote:If a snail can move i inches in m minutes, then how many feet it can move in h hours?

A 5hi/m
B 60hi/m
C hi/12m
D 5m/hi
E 5him

The rate of the snail is i/m inches per minute.

Since h hours = 60h minutes, then in h hours the snail can move i/m x 60h = 60hi/m inches and 60hi/m inches = (60hi/m)/12 = 60hi/(12m) = 5hi/m feet.

Answer: A

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