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29 May 2018, 07:48
2
7
00:00

Difficulty:

75% (hard)

Question Stats:

58% (03:06) correct 42% (03:18) wrong based on 64 sessions

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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] ### Show Tags 29 May 2018, 11:22 2 1 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 _________________ Adam Rosman, MD University of Chicago Booth School of Business, Class of 2020 adam@alldaytestprep.com Unlimited private GMAT Tutoring in Chicago for less than the cost a generic prep course. No tracking hours. No watching the clock. Senior PS Moderator Joined: 26 Feb 2016 Posts: 3333 Location: India GPA: 3.12 Two workers have different pay scales. Worker A receives$50 for any..  [#permalink]

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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! _________________ You've got what it takes, but it will take everything you've got Non-Human User Joined: 09 Sep 2013 Posts: 13266 Re: Two workers have different pay scales. Worker A receives$50 for any..  [#permalink]

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06 Sep 2019, 16:44
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