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Question 1:
Anil and Babu can do a job in 8 days. Babu and Charan can do the same job in 12 days. Anil, Babu, and Charan can do the job in 6 days. In how many days Anil and Charan can complete the job?
A. 6 days
B. 8 days
Feedback Anil and Babu can do a job in 8 days
Combined efficiency of Anil + Babu = 100/8 = 12.5% ……………………………………(1)
Similarly, combined efficiency of Babu + Charan = 100/12 = 8.33%……………………..(2)
Similarly, combined efficiency of Anil + Babu + Charan = 100/6 = 16.66%……………..(3)
So now, if we want to calculate the efficiency of Anil and Charan together, we need to first calculate the individual efficiency of Anil and Charan.
So we first deduct equation 1 from equation 3 to get efficiency of Charan. Then we deduct equation 2 from equation 3 we will get efficiency of Anil.
Let’s calculate the efficiency of Charan = (Anil + Babu + Charan) – (Anil + Babu) = 16.66 – 12.5 = 4.16%
In the same way, we calculate the efficiency of Anil = 16.66 – 8.33 = 8.33%
So, combined efficiency of Anil and Charan = 8.33% + 4.16% ˜ 12.5%
They need = 100/12.5 = 8 days.
So they can complete the job in 8 days.
C. 10 days
D. 12 days

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