Maths Class 5 Time

Asked by AKSHAY GURU VARADHARAJAN · SRI CHAITANYA TECHNO SCHOOL, JAYANTI NAGAR.

A can lay a railway track between two stations in 16 days, and B can do the same job in 12 days. With the help of C, they did the job in only 4 days. In how many days can C alone do the job?

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A 9 1/5 days
B 9 2/5 days
C 9 3/5 days
D 10 days

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Answer: C. 9 3/5 days

(A+B+C)'s 1 day work = 1/4
A's 1 day work = 1/16, B's 1 day work = 1/12
C's 1 day work = 1/4 - (1/16 + 1/12) = 12/48 - 7/48 = 5/48
C alone takes 48/5 = 9 3/5 days.

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A can lay a railway track between two stations in 16 days, and B can do the same job in 12 days. With the help of C, they did the job in only 4 days. In how many days can C alone do the job?

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