QA – Placement Quizzes | Work and Wages | Question 5
Three friends A, B and C are employed to make pastries in a bakery. Working individually, they can make 60, 30 and 40 pastries respectively in an hour. They decided to work together but due to lack of resources, they had to work on shifts of 30 minutes. Find the time taken to make 185 pastries.
(A) 4 hours
(B) 3 hours 45 minutes
(C) 4 hours 15 minutes
(D) 5 hours
Explanation: It is given that A, B and C make 60, 30 and 40 pastries respectively in an hour.
=> In 30 minutes, they will make 30, 15 and 20 pastries respectively.
So, in one cycle of 1 hour 30 minutes where each works for 30 minutes, pastries made = 30 + 15 + 20 = 65
Now, in 2 cycles (3 hours), 130 pastries would be made.
In the next 30 minutes, A would make 30 pastries.
So, total time elapsed = 3 hours 30 minutes and pastries made = 130 + 30 = 160
In the next 30 minutes, B would make 15 pastries.
So, total time elapsed = 4 hours and pastries made = 160 + 15 = 175
In the next 15 minutes, C would make 10 pastries.
So, total time elapsed = 4 hours 15 minutes and pastries made = 175 + 10 = 185
Therefore, total time taken = 4 hours 15 minutes
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