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 M₁ D₁ H₁ E₁ / W₁ = M₂ D₂ H₂ E₂ / W₂, where
M₁ = 32 bakers
D₁ = 25 days
H₁ = 6 hours/day
W₁ = 400 cakes
E₁ = E₂ = Efficiency of each baker
M₂ = 30 bakers
D₂ = 24 days
H₂ = Daily working hours for 30 bakers
W₂ = 300 cakes

So, we have
32 x 25 x 6 / 400 = 30 x 24 x H₂ / 300
=> H₂ = 5
Therefore, 30 bakers should work 5 hours / day to make 300 cakes in 24 days.
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