Time and Work - Arithmetic Aptitude Questions and Answers

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Discussion :: Time and Work

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

9 $\frac { 1 } {5}$ days

9 $\frac { 2} {5}$ days

9 $\frac {3} {5}$ days

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Answer : Option C

Explanation :

(A + B + C)'s 1 day's work = $\frac {1} {4}$

A's 1 day's work = $\frac {1} {16}$

B's 1 day's work = $\frac {1} {12}$

C's 1 day's work = $\frac {1} {4}$ -[ $\frac {1} {16}$ + $\frac {1} {12}$ ]=[ $\frac {1} {4}$ - $\frac {7} {48}$ ]= $\frac {5} {48}$

So, C alone can do the work in $\frac {48} {5}$ =9 $\frac {3} {5}$ days

Mallikarjun potadar said : (Jan 17, 2022)

How you get 48/5

BHAVANI said : (Jan 20, 2022)

how we put 48/5?

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