15 boys can complete a work in 10 days and 12 girls can complete the same work in 15 days. If all 15 boys and 12 girls work together, in how many days, will the work get completed?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6
We have given,
15 boys can complete a work in 10 days and 12 girls can complete the same work in 15 days.
So,
15 boys × 10 = 12 girls × 15
Boys/girls = 6/5 or 10 boys = 12 girls
So, the time taken by 15 boys + 12 girls = 15 boys + 10 boys = 25 boys
Total work by boys = 15 × 10 = 150
Time = 150/25 = 6 days