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# If a baker made 60 pies in the first 5 hours of his workday,

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If a baker made 60 pies in the first 5 hours of his workday, [#permalink]  18 Jun 2018, 14:52
Expert's post
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Question Stats:

86% (01:09) correct 13% (02:08) wrong based on 30 sessions
If a baker made 60 pies in the first 5 hours of his workday, by how many pies per hour did he increase his rate in the last 3 hours of the workday in order to complete 150 pies in the entire 8- hour period?

(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
[Reveal] Spoiler: OA

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Re: If a baker made 60 pies in the first 5 hours of his workday, [#permalink]  26 Jun 2018, 08:59
From the question,

A baker has made 60 pies in the first 5 hrs.
Hence the rate at which the baker is working is $$\frac{60}{5} = 12$$ pies for hr

According to the question, the baker makes 150 pies in the 8 hr period.
Of 150 he still needs to make 150 - 60 = 90 pies in the remaining 3 hrs.

Hence he has to work at a rate of $$\frac{90}{3}$$ = 30 pies per hr for the remaining period.
Therefore he increases his production rate by 30 - 12 = 18 pies per hr.
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Re: If a baker made 60 pies in the first 5 hours of his workday, [#permalink]  26 Jun 2018, 09:46
sandy wrote:
If a baker made 60 pies in the first 5 hours of his workday, by how many pies per hour did he increase his rate in the last 3 hours of the workday in order to complete 150 pies in the entire 8- hour period?

(A) 12
(B) 14
(C) 16
(D) 18
(E) 20

We know

Work = Rate * Time

So for the first 5 hours we have;

60 = Rate * 5

Rate = 12 pies/hr

For the next 3 hour we have;

(150-60) = Rate * 3 (Since total pies is 150 and 60 pies were already prepared within 5 hrs; so in 3 hrs he prepare 150-60 pies)

Rate = 30 pies

Therefore the rate increased = 30 -12 = 18 pies/hr
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 173

Kudos [?]: 2977 [0], given: 394

Re: If a baker made 60 pies in the first 5 hours of his workday, [#permalink]  10 Jul 2018, 05:19
Expert's post
Explanation

The question asks by how many pies per hour the baker’s rate of pie-making increased, so determine his rate for the first 5 hours and his rate in the last 3 hours. The difference is the ultimate answer:

Rate for last 3 hours – Rate for first 5 hours = Increase

The rate for the first 5 hours was 60 pies ÷ 5 hours = 12 pies per hour.

In the last 3 hours, the baker made 150 – 60 = 90 pies. The rate in the last 3 hours of the workday was thus 90 pies ÷ 3 hours = 30 pies per hour.

Now find the difference between the two rates of work:

30 pies per hour – 12 pies per hour = 18 pies per hour
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Re: If a baker made 60 pies in the first 5 hours of his workday,   [#permalink] 10 Jul 2018, 05:19
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