Question

The ratio of efficiencies of 2 workers , P and Q is 5:2. If P can complete a project in 12 days, how many days will Q take to complete the same project alone ?

• A. 24 days
• B. 30 days
• C. 40 days
• D. 35 days

Answer 1

Answer:

B. 30 days

Q will take 30 days to complete the project alone.

• Efficiency Ratio: P : Q = $5 : 2$

• Work Formula: $\text{Total Work} = \text{Efficiency} \times \text{Time}$

• Calculate Total Work: $5 \times 12\text{ days} = 60\text{ units}$

• Calculate Q's Time: $60\text{ units} \div 2 = 30\text{ days}$