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# Preeti can make 100 sandwiches in 1 hour and 15 minute

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Preeti can make 100 sandwiches in 1 hour and 15 minute [#permalink]  20 Oct 2017, 16:08
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Question Stats:

58% (02:05) correct 41% (01:59) wrong based on 29 sessions

Preeti can make 100 sandwiches in 1 hour and 15 minutes.
Mariska can make 50 sandwiches in 30 minutes.

 Quantity A Quantity B The time it would take Preeti and Mariska to make a total of 180 sandwiches, each working at her own independent rate The time it would take to make 110 sandwiches if Mariska worked alone for 30 minutes and then Mariska and Preeti worked together to finish the job

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Preeti can make 100 sandwiches in 1 hour and 15 minute [#permalink]  21 Oct 2017, 07:20
Preeti's rate is $$\frac{100}{75} =\frac{4}{3}$$, while Mariska's rate is $$\frac{50}{30} =\frac{5}{3}$$. This means that when they work together their rate becomes $$\frac{4}{3}+ \frac{5}{3} = \frac{9}{3}$$.

Quantity A is computed taking into account that P and M together make 3 sandwich a minute, thus they make 180 sandwich in 60 minutes.

Quantity B: Mariska alone prepares 5 sandwich in 3 minutes, thus working 30 minutes she makes 50 sandwiches. When they work together they have 60 sandwiches left to do at a rate of 3 sandwiches a minute, thus it takes other 20 minutes to finish the sandwiches. 30 + 20 = 50 minutes.

Re: Preeti can make 100 sandwiches in 1 hour and 15 minute   [#permalink] 21 Oct 2017, 07:20
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# Preeti can make 100 sandwiches in 1 hour and 15 minute

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