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If a baker made 60 pies in the first 5 hours of his workday, by how ma

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If a baker made 60 pies in the first 5 hours of his workday, by how ma  [#permalink]

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New post 02 Jul 2018, 23:03
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Question Stats:

94% (01:30) correct 6% (01:42) wrong based on 42 sessions

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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

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Re: If a baker made 60 pies in the first 5 hours of his workday, by how ma  [#permalink]

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New post 02 Jul 2018, 23:27
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Bunuel 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'll break our question down into small steps so we understand what we need to do.
This is a Precise approach.

60 pies in 5 hours --> 12 pies per hour
without increase: last 3 hours of workday --> 12*3 = 36 pies
this gives 60+36 = 96 pies meaning that 150 - 96 = 54 pies are missing.
As he made these 54 pies in the last 3 hours, he needed to add an extra 54/3 = 18 pies per hour.

(D) is our answer.
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Re: If a baker made 60 pies in the first 5 hours of his workday, by how ma  [#permalink]

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New post 03 Jul 2018, 02:25
Bunuel 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




normal rate 12 pies per hour
in 8 hours at his normal rate the baker would complete 96 pies , but he made 150 pies
last 3 hours instead of 36 pies , he made 90 pies
which is 54 pies extra
54/3=18 pies extra per hour for last 3 hours
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If a baker made 60 pies in the first 5 hours of his workday, by how ma  [#permalink]

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New post 03 Jul 2018, 03:29
Bunuel 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



Phase 1 :

60 pies were made in 5 hrs

so, 60/5 = 12 pies / hr.

Phase 2:

work left = 90 pies
Time left = 3 hrs.

so, rate = 90 /3 = 30 pies / hr.


Difference = 30 - 12 = 18.

In last 3 hrs Baker produced extra 18 pies / hr.

Thus the best answer is D.
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Re: If a baker made 60 pies in the first 5 hours of his workday, by how ma  [#permalink]

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New post 03 Jul 2018, 07:53
Bunuel 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

The efficiency of the baker is 12 pies/hour

In first 5 hours the baker bakes 60 pies, so in the next 3 hours he will have to bake 90 pies...

So, Efficiency during the last 3 hours is 30 pies / hour

Hence, during the last three hours, he increased by efficiency by 18 pies/hour ( 30 - 23), Answer must be (D)
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Re: If a baker made 60 pies in the first 5 hours of his workday, by how ma &nbs [#permalink] 03 Jul 2018, 07:53
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