## Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respectively.

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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.

by BTGmoderatorDC » Wed Sep 29, 2021 6:38 pm

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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

OA D

Source: Princeton Review

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### Re: Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respective

by swerve » Thu Sep 30, 2021 7:48 am
BTGmoderatorDC wrote:
Wed Sep 29, 2021 6:38 pm
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

OA D

Source: Princeton Review
Marcus rate; $$1/7.5$$
Lateral rate; $$1/5$$ hrs
Together; $$1/7.5+ 1/5 = 3$$ or say $$1/3$$

So, Marcus can make; $$7.5/3$$ houses per hour so for $$35\$$ per hour hourly rate
$$35*3/7.5;$$ $$14\$$

Therefore, D

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### Re: Working at their individual rates, Marcus and Latrell can build a certain brick house in 7.5 and 5 hours, respective

by rk_gmat » Thu Sep 30, 2021 11:42 am
The ratio of work done by each
Markus : Latrell
= $$\frac{1}{7.5}$$ : $$\frac{1}{5}$$
= 2:3 {Multiply both by 15}

Pay is directly proportional to this ratio so they're paid
2x : 3x
Total = 5x = $35 => x =7 Hence, Markus's Pay = 2x =$14

D

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