5 men and 8 women can complete a task in 34 days, whereas 4 men and 18 women can complete the same task in 28 days. In how many days can the same task be complete by 3 men 5 women?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 56
| Understanding | Application |
| We will gonna use the unitary method to solve this type of work and time problem. |
Suppose M is the man-days unit work & W is woman-days, unit of work. By equating both the equations, ⇒ 170M + 272W = 112M + 504W ⇒ 58M = 232W ⇒ M = 4W If we put this in any of the equation, let say 1st equation. then, total work will be, ⇒ 170M + 272W ⇒ 170(4W) + 272W ⇒ 680W + 272W ⇒ 952W So by the condition, x(3M + 5W) = 952W Where x is the number of days. ⇒ x(3(4W) + 5W) = 952W ⇒ x(17W) = 952W ⇒ x = 56 days |