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Working at their individual rates, Marcus and Latrell can build a cert

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Bunuel
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Working at their individual rates, Marcus and Latrell can build a cert [#permalink] New post   02 May 2019, 02:11
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66% (02:33) correct 34% (02:27) wrong based on 154 sessions
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Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respectively. When they work together,they are paid $35 per hour. If they share their pay in proportion to the amount of work each does,then what is Marcus’ hourly pay for building the house?

A. $3
B. $6
C. $7
D. $14
E. $21
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D
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LevanKhukhunashvili
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Re: Working at their individual rates, Marcus and Latrell can build a cert [#permalink] New post   02 May 2019, 02:45
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Marcus can do \(\frac{2}{15}\) fraction of the house in 1 hour
Latrell - \(\frac{1}{5}\) in 1 hour
So together they can do \(\frac{2}{15}\)+\(\frac{1}{5}\)=\(\frac{1}{3}\) job in 1 hour

To calculate what fraction of job is done by Marcus \(\frac{2}{15}\)/\(\frac{1}{3}\) = \(\frac{2}{5}\)
To be easier to catch the idea, let's calculate Latrel's fraction of job done \(\frac{1}{5}\)/\(\frac{1}{3}\)=\(\frac{3}{5}\)

Working together
Marcus does \(\frac{2}{5}\) part of the job
Latrell does \(\frac{3}{5}\) part of the job

Now let's distribute $35 between Marcus and latrell according to the amount of work done
35*\(\frac{2}{5}\)=$14

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Re: Working at their individual rates, Marcus and Latrell can build a cert [#permalink] New post   02 May 2019, 02:49
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In 15 hours, Marcus builds 2 houses and Latrell builds 3 houses. So they do work in a 2 to 3 ratio, and Marcus does 2/5 of the work, so deserves 2/5 of the pay, or (2/5)(35) = $14.
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Re: Working at their individual rates, Marcus and Latrell can build a cert [#permalink] New post   02 May 2019, 04:17
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Bunuel wrote:
Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respectively. When they work together,they are paid $35 per hour. If they share their pay in proportion to the amount of work each does,then what is Marcus’ hourly pay for building the house?

A. $3
B. $6
C. $7
D. $14
E. $21


marcus rate ; 1/7.5
lateral rate; 1/5 hrs
together ; 1/7.5+ 1/5 = 3 or say 1/3
so Marcuss can make ; 7.5/3 houses per hour so for 35 $ per hour hourl rate
35*3/7.5 ; 14 $
IMO D
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Re: Working at their individual rates, Marcus and Latrell can build a cert [#permalink] New post   17 Mar 2021, 15:50
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Re: Working at their individual rates, Marcus and Latrell can build a cert [#permalink]
17 Mar 2021, 15:50
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