Question

8 boys and 12 girls together can finish a project work in 5 days. If it takes 50 days for one boy alone to finish the same project, how many days are required for one girl alone to complete the same project work?

Options

• 150

• 275

• 300

• 200

Answer 1

300

Explanation:

8 boys + 12 girls together complete the work in 5 days and same work done by one boy is 50 days.

(8B + 12G) × 5 = IB × 50

⇒ 408 + 60G = 50B

⇒ 60G = 10B

⇒ `G/B = 1/6` (Efficiency ratio) 

Now, Total work = (88 + 12G) × 5

= (8 × 6 + 12 × 1) × 5

= 60 × 5

= 300

∴ . Work done by girl = `300/1` = 300 days