2 men or 5 women or 7 boys can finish a work in 469 days,

Home » Aptitude » Time and Work » Question

2 men or 5 women or 7 boys can finish a work in 469 days, then the number of days taken by 7 men, 5 women and 2 boys to finish the work is :

1. 134
2. 106
3. 100
4. 98

Correct Option: D

2 men = 7 boys
⇒ 1 man = 7/2 days

5 women = 7 boys
⇒ 1 women = 7/5 boys

7 men + 5 women + 2 boys = 7 x 7/2 + 5 x 7/5 + 2 = 67/2 boys
Now, B₁ x D₁ = B₂ x D₂
7 X 469 = 67/2 x D₂
D₂ = 98 days