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Two workers have different pay scales. Worker A receives $50 for any..

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Two workers have different pay scales. Worker A receives $50 for any..  [#permalink]

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New post 29 May 2018, 07:48
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Question Stats:

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Two workers have different pay scales. Worker A receives $50 for any day worked plus $15 per hour. Worker B
receives $27 per hour. Both workers may work for a fraction of an hour and be paid in proportion to their respective
hourly rates. If worker A arrives at 9:21 a.m. and receives the $50 upon arrival and Worker B arrives at 10:09 a.m.,
assuming both work continuously, at what time would their earnings be identical?

A) 11:09 a.m.
B) 12:01 p.m.
C) 2:31 p.m.
D) 3:19 p.m.
E) 3:36 p.m.

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Re: Two workers have different pay scales. Worker A receives $50 for any..  [#permalink]

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New post 29 May 2018, 11:22
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CAMANISHPARMAR wrote:
Two workers have different pay scales. Worker A receives $50 for any day worked plus $15 per hour. Worker B
receives $27 per hour. Both workers may work for a fraction of an hour and be paid in proportion to their respective
hourly rates. If worker A arrives at 9:21 a.m. and receives the $50 upon arrival and Worker B arrives at 10:09 a.m.,
assuming both work continuously, at what time would their earnings be identical?

A) 11:09 a.m.
B) 12:01 p.m.
C) 2:31 p.m.
D) 3:19 p.m.
E) 3:36 p.m.


x = hrs worker a worked
y = hrs worker b worked

Worker A Pay = 50 + 14(# hours worked) ----> 50 + 15x

Worker B Pay = 27(# hours worked) -----> 27y

Rephrase question: At what time is 50 + 15x = 27y?

Worker a started 48 minutes ahead of worker b so he worked for 4/5 of an hour more ----> x = y + 4/5

Rephrase question again: At what time is 50 + 15(y + 4/5) = 27y ?
---> 50 + 15y + 12 = 27y ---> 62 = 12y
----> y = 5 and 1/6 hours ====> 5 hrs and 10 minutes

The two workers' pay will be equal when worker b has worked for 5 hrs and 10 minutes. Since he started at 10:09 am this will be at 3:19 pm

Answer: D
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Two workers have different pay scales. Worker A receives $50 for any..  [#permalink]

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New post 29 May 2018, 11:39
2
CAMANISHPARMAR wrote:
Two workers have different pay scales. Worker A receives $50 for any day worked plus $15 per hour. Worker B
receives $27 per hour. Both workers may work for a fraction of an hour and be paid in proportion to their respective
hourly rates. If worker A arrives at 9:21 a.m. and receives the $50 upon arrival and Worker B arrives at 10:09 a.m.,
assuming both work continuously, at what time would their earnings be identical?

A) 11:09 a.m.
B) 12:01 p.m.
C) 2:31 p.m.
D) 3:19 p.m.
E) 3:36 p.m.



The difference in the worker's pay scales is the 50$ received by the Worker A.

Worker A starts work at 9:21 AM and gets paid $15 an hour
Worker B starts work at 10:09 AM and gets paid $27 an hour
Worker B will get paid $12 more an hour and Worker A gets paid $50 every day.

Worker A would have earned \(\frac{48}{60}*15 = $12\) more by 10:09 AM.
Worker B starts work at 10:09 AM exactly 48 minutes later.

When Worker B starts his work, Worker A has already earned $62.
Thereafter, in order to balance their pay, Worker B(who earns $12 more) needs \(5\frac{1}{6}\) hours.

The time \(5\frac{1}{6}\)hrs (5 hours,10 minuters) after 10:09 AM is 03:19 PM(Option D) and is our answer!
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Re: Two workers have different pay scales. Worker A receives $50 for any..  [#permalink]

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Re: Two workers have different pay scales. Worker A receives $50 for any..   [#permalink] 06 Sep 2019, 16:44
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