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OG16 - PS 162

This topic has 3 expert replies and 0 member replies
amina.shaikh309 Senior | Next Rank: 100 Posts Default Avatar
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Posted:
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OG16 - PS 162

Post Thu May 26, 2016 5:56 am
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Post Thu May 26, 2016 2:49 pm
If we've got

336 = x * y

and

336 = (x + 4) * (y - 2)

We could factor 336 to look for solutions. Since the answers are likely to have both the time and the hourly rate (in an attempt to trap us if we're not careful), we might cheat with them and assume that they multiply to our number ... which, of course, they do!

336 = 28 * 12
336 = 24 * 14

Since Don's estimate had a lower time and a higher hourly rate, his estimate must've been 24 * 14. We want the time, which must be LOWER than the time in the other equation, so our answer is 24.

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Post Thu May 26, 2016 8:09 am
Quote:
At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, consequently, he earned 2$ per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?

28
24
16
14
12
We can PLUG IN THE ANSWERS, which represent the estimated time: 28, 24, 16, 14, or 12.
The actual time was 4 hours longer: 32, 28, 20, 18, or 16.
Both the estimated time and the actual time must divide evenly into 336 (the labor cost).
Since 336 is not a multiple of 32, eliminate A.
Since 336 is not a multiple of 20, eliminate C.
336 is not a multiple of 9, since the sum of its digits is not a multiple of 9.
Thus, 336 is not a multiple of 18; eliminate D.

The correct answer must be B or E.

Answer choice B: estimated time = 24, actual time = 28
Estimated payrate = 336/24 = 14.
Actual payrate = 336/28 = 12.
Difference = 14-12 = 2.
Success!

The correct answer is B.

Note that we had to try only ONE answer choice -- a very efficient way to solve the problem.

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GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
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Posted:
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Target GMAT Score:
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GMAT Score:
780
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Post Thu May 26, 2016 2:49 pm
If we've got

336 = x * y

and

336 = (x + 4) * (y - 2)

We could factor 336 to look for solutions. Since the answers are likely to have both the time and the hourly rate (in an attempt to trap us if we're not careful), we might cheat with them and assume that they multiply to our number ... which, of course, they do!

336 = 28 * 12
336 = 24 * 14

Since Don's estimate had a lower time and a higher hourly rate, his estimate must've been 24 * 14. We want the time, which must be LOWER than the time in the other equation, so our answer is 24.

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