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Paul is able to grade p essays every half hour, and Sarah is
[#permalink]
09 Dec 2017, 19:27

1

Expert Reply

Question Stats:

Paul is able to grade p essays every half hour, and Sarah is able to grade s essays every hour. If Paul and Sarah work together grading essays for h hours, then in terms of p, s, and h, how many essays will they grade?

Indicate all such amounts.

A. \(\frac{p+s}{h}\)

B. \(\frac{2p+s}{h}\)

C. \(h(p + s)\)

D. \(2h(p + s)\)

E. \(h(2p + s)\)

F. \(h(p + 2s)\)

G. \(2hp + hs\)

_________________

Indicate all such amounts.

A. \(\frac{p+s}{h}\)

B. \(\frac{2p+s}{h}\)

C. \(h(p + s)\)

D. \(2h(p + s)\)

E. \(h(2p + s)\)

F. \(h(p + 2s)\)

G. \(2hp + hs\)

Show: :: OA

E, G

Drill 4

Question: 5

Page: 531-532

Question: 5

Page: 531-532

_________________

Sandy

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Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4805**

WE:**Business Development (Energy and Utilities)**

Re: Paul is able to grade p essays every half hour, and Sarah is
[#permalink]
29 Dec 2017, 16:34

Expert Reply

1

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Explanation

Plug in numbers for p, s, and h, such as 2, 3, and 4, respectively. If Paul can grade 2 essays every half hour, then in 4 hours, he will grade 16 essays. If Sarah can grade 3 essays every hour, then in 4 hours, she will grade 12 essays.

Thus, Paul and Sarah will grade a total of 28 essays. Now, plug your numbers into each answer choice. Choices (E) and (G) result in 28. If you Plugged In and choice (F) also worked, you picked the same number for Paul and Sarah. If you picked choice (C), you didn’t notice that Paul grades p essays every half hour, not every hour.

_________________

Sandy

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Plug in numbers for p, s, and h, such as 2, 3, and 4, respectively. If Paul can grade 2 essays every half hour, then in 4 hours, he will grade 16 essays. If Sarah can grade 3 essays every hour, then in 4 hours, she will grade 12 essays.

Thus, Paul and Sarah will grade a total of 28 essays. Now, plug your numbers into each answer choice. Choices (E) and (G) result in 28. If you Plugged In and choice (F) also worked, you picked the same number for Paul and Sarah. If you picked choice (C), you didn’t notice that Paul grades p essays every half hour, not every hour.

_________________

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Re: Paul is able to grade p essays every half hour, and Sarah is
[#permalink]
11 Jan 2022, 04:46

1

sandy wrote:

Paul is able to grade p essays every half hour, and Sarah is able to grade s essays every hour. If Paul and Sarah work together grading essays for h hours, then in terms of p, s, and h, how many essays will they grade?

Indicate all such amounts.

A. \(\frac{p+s}{h}\)

B. \(\frac{2p+s}{h}\)

C. \(h(p + s)\)

D. \(2h(p + s)\)

E. \(h(2p + s)\)

F. \(h(p + 2s)\)

G. \(2hp + hs\)

Indicate all such amounts.

A. \(\frac{p+s}{h}\)

B. \(\frac{2p+s}{h}\)

C. \(h(p + s)\)

D. \(2h(p + s)\)

E. \(h(2p + s)\)

F. \(h(p + 2s)\)

G. \(2hp + hs\)

While I would recommend plugging in numbers, many test-takers might struggle to answer this problem in a reasonable amount of time, given the number of answer choices.

Such test-takers might be wise to consider the following:

Since we are given seven answer choices and are asked to indicate ALL such amounts, it is likely that more than one answer choice will be viable.

For this reason, a test-taker without enough time to solve the problem fully could scan the answer choices and look for two or more that are equal to one another.

When E is expanded, the result is the same as G:

2hp + hs

No other answer choices are equal to one another for all values h, p and s.

Thus, it is very likely that the correct answers are E and G.

Not a foolproof approach, but better than guessing blindly.

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Over 1800 followers

GMATGuruNY at gmail

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For more information, please email me at GMATGuruNY at gmail

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