Time and Work - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Time and Work :: Discussion

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

Answer : Option B

Explanation :

Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.

Then, 4x + 6y =\(\frac { 1 } {8 }\)and 3x + 7y =\(\frac { 1 } {10 }\)

Solving the two equations, we get: x =\(\frac { 11 } {400 }\)'y =\(\frac { 1 } {400 }\)

1 woman's 1 day's work =\(\frac { 1 } {400 }\)

10 women's 1 day's work=[\(\frac { 1 } {400 }\)*10]=\(\frac { 1 } {40 }\)

Hence, 10 women will complete the work in 40 days.

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