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Working independently, Machine A can complete a work in 3.5 hours, whi

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Carcass
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Working independently, Machine A can complete a work in 3.5 hours, whi [#permalink] New post   20 Sep 2021, 03:45
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Working independently, Machine A can complete a work in 3.5 hours, while Machine B can complete the same work in x hours. Working simultaneously, they together complete the same work in 1.5 hours.

Quantity A
Quantity B
3
x



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Source: manhattanreview
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A
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Working independently, Machine A can complete a work in 3.5 hours, whi [#permalink] New post   20 Sep 2021, 05:12
1
\(1/3.5+1/x=1/1.5\)
\(2/7+1/x=2/3\)
multiply both sides by \(21x\), \(6x+21=14x\), \(x=21/8\)

Quantity A: \(3\)
Quantity B: \(21/8\)

Quantity A > Quantity B

Answer is A

Carcass wrote:
Working independently, Machine A can complete a work in 3.5 hours, while Machine B can complete the same work in x hours. Working simultaneously, they together complete the same work in 1.5 hours.

Quantity A
Quantity B
3
x



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Source: manhattanreview
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Working independently, Machine A can complete a work in 3.5 hours, whi [#permalink] New post   06 May 2022, 23:04
in 2/7 + 1/x = 2/3 eqn, doesnt '1/x' become '2/2x' since multiplied by 2
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Re: Working independently, Machine A can complete a work in 3.5 hours, whi [#permalink] New post   07 May 2022, 03:41
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Hey SivhHarish

When we multiply \((\frac{1}{x})\) by \(2\), it will be like \(2(\frac{1}{x}) = \frac{2}{x}\)

Please ask if not clear.

SivhHarish wrote:
in 2/7 + 1/x = 2/3 eqn, doesnt '1/x' become '2/2x' since multiplied by 2
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Re: Working independently, Machine A can complete a work in 3.5 hours, whi [#permalink] New post   27 Apr 2024, 19:35
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Working independently, Machine A can complete a work in 3.5 hours, whi [#permalink]
27 Apr 2024, 19:35
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