Question

Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is

Answer 1

Correct Answer: 6

The total work required is $15 \times 4 = 60$ hours (Renu's total work) or $8 \times 5 = 40$ hours (Seema's total work). To complete the task together, we assume Renu works 2 hours per day for $2x$ days, and Seema works $4x$ hours per day for $x$ days. The total work done is:

$2x \times 2 + 4x \times 5 = 60$

Solving, we get $4x + 20x = 60$ or $x = 6$.