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

This topic has expert replies
Moderator
Posts: 6128
Joined: 07 Sep 2017
Followed by:20 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

Legendary Member
Posts: 2049
Joined: 29 Oct 2017
Followed by:6 members
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

Newbie | Next Rank: 10 Posts
Posts: 8
Joined: 15 Jan 2011
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