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1. Faruk can do a work in 12 days and Salam can do the same work in 8 days. If Faruk , Salam and Babu work together , they can complete the work in 4 days . How many days will it take Babu to complete the work alone ?
- A. 16
- B. 16
- C. 16
- D. 16
Answer: Option C
Explanation:
Faruk can do a work in 12 days and Salam can do the same work in 8 days. If Faruk , Salam and Babu work together , they can complete the work in 4 days . How many days will it take Babu to complete the work alone ?
in 1 day faruk can do 1/12 unit of work
in 1 day salma can do 1/8 unit of work
let asssume,
i 1 day babu can do 1/x unit of work
in 1 day babu , faruk and salma can do = (1/12 + 1/8 + 1/x) = 5x + 24/24x unit of work
given that, in 4 days they can complete 1 unit of work together
so in 1 day the can do 1/4 unit of work
hence , 5x + 24/24x = 1/4
20x + 96 = 24x
x = 24
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