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Jim can assemble b crates an hour and Robert can assemble 2b crates in

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Math Expert
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Jim can assemble b crates an hour and Robert can assemble 2b crates in  [#permalink]

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New post 30 Jan 2020, 02:53
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (00:52) correct 19% (01:40) wrong based on 75 sessions

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Director
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Re: Jim can assemble b crates an hour and Robert can assemble 2b crates in  [#permalink]

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New post 30 Jan 2020, 03:04
Explanation:

Per hour work of both = 2b + b = 3b
in 4 hours = 3b X 4 = 12b

IMO-D
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Re: Jim can assemble b crates an hour and Robert can assemble 2b crates in  [#permalink]

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New post 03 Feb 2020, 05:07
Let's assume that b=1, so that Jim assembles 1 crane per hour. Then, Robert assembles 2 cranes per hour. Together they manage 3 cranes per 1 hour and, consequently, 12 cranes per 4 hours. Plugging b=1 into the answer choices, we arrive at D: 12*1 = 12
Imho D
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Re: Jim can assemble b crates an hour and Robert can assemble 2b crates in  [#permalink]

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New post 15 Apr 2020, 08:53
Top Contributor
Bunuel wrote:
Jim can assemble b crates an hour and Robert can assemble 2b crates in an hour. Working together at this rate, how many crates can they assemble in four hours?

A) 3b

B) 6b

C) 8b

D) 12b

E) 18b


Let's apply some logic to solve this question

Given: Jim can assemble b crates in 1 hour
So: Jim can assemble 2b crates in 2 hours [if we double the work time, we double the output]
So: Jim can assemble 4b crates in 4 hours [if we double the work time (again), we double the output]

Given: Robert can assemble 2b crates in 1 hour
So: Robert can assemble 4b crates in 2 hours [if we double the work time, we double the output]
So: Robert can assemble 8b crates in 4 hours [if we double the work time (again), we double the output]

So, when we COMBINE their efforts, we add their 4-hour OUTPUTS
That is, TOTAL output = color=red]4b[/color] + color=red]8b[/color] = 12b

Answer: D

Cheers,
Brent
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Re: Jim can assemble b crates an hour and Robert can assemble 2b crates in  [#permalink]

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New post 17 Apr 2020, 03:28
Bunuel wrote:
Jim can assemble b crates an hour and Robert can assemble 2b crates in an hour. Working together at this rate, how many crates can they assemble in four hours?

A) 3b

B) 6b

C) 8b

D) 12b

E) 18b


In 4 hours Jim and Robert can assemble b x 4 + 2b x 4 = 12b crates.

Answer: D


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Re: Jim can assemble b crates an hour and Robert can assemble 2b crates in   [#permalink] 17 Apr 2020, 03:28

Jim can assemble b crates an hour and Robert can assemble 2b crates in

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