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

Question

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

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

DavidTutorexamPAL · Answer

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.

CounterSniper · Answer

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

KSBGC · Answer

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.

Abhishek009 · Answer

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)

MathRevolution · Answer

Baker made 60 pies in the first 5 hours of his workday: In 1 hour he makes  \frac{60 }{ 5}  = 12 pies.

Total hours: 8
Total Pies: 150

Remaining hours: 8 - 5 = 3
Remaining pies: 150 - 60 = 90

Remaining pies per hour:  \frac{90 }{ 3}  = 30

Difference in per hour pies: 30 - 12 = 18

Answer D

EgmatQuantExpert · Answer

Given

• A baker made 60 pies in the first 5 hours of his workday.

To Find

• 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.

Approach and Working Out

• Current speed =  \frac{60}{5}  = 12 pieces/ hour.
• Remaining pieces = 150 – 60 = 90
 o Speed required =  \frac{90}{3}  = 30 per hour 
• Increase = 30 – 12 = 18

Correct Answer: Option D

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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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