22 boys, working together, can complete a work in 10 days, whereas 25 boys and 12 girls take 8 days to complete the same work. In how many days can only 6 girls, working together, complete the same work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 176.
M1 × D1 = M2 × D2
Let the number of boys and girls be B and G.
According to the question;
⇒ (22B × 10) = (25B + 12G) × 8
⇒ 55B = 50B + 24G
⇒ B/G = 24/5
Total work = 22B × 10 = 22 × 24 × 10 = 5280
Hence, the required time taken by 6 girls = 5280/(6 × 5) = 5280/30 = 176