# QA – Placement Quizzes | Work and Wages | Question 12

32 Bakers working 6 hours a day can make 400 cakes in 25 days. If 30 such bakers are given a contract to make 300 cakes in 24 days, how many hours a day should they work?**(A)** 4**(B)** 5**(C)** 6**(D)** 8**Answer:** **(B)****Explanation:** Here, we need to apply the formula **M _{1} D_{1} H_{1} E_{1} / W_{1} = M_{2} D_{2} H_{2} E_{2} / W_{2}**, where

M

_{1}= 32 bakers

D

_{1}= 25 days

H

_{1}= 6 hours/day

W

_{1}= 400 cakes

E

_{1}= E

_{2}= Efficiency of each baker

M

_{2}= 30 bakers

D

_{2}= 24 days

H

_{2}= Daily working hours for 30 bakers

W

_{2}= 300 cakes

So, we have

32 x 25 x 6 / 400 = 30 x 24 x H

_{2}/ 300

=> H

_{2}= 5

Therefore, 30 bakers should work 5 hours / day to make 300 cakes in 24 days.

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