Question

Bali can complete a certain work in 18 minutes and Lucky can complete the same work in 15 minutes. Lucky worked on it for 10 minutes and then Bali took over after that. How many minutes would Bali take to complete the remaining job?

• A. 4 minutes
• B. 5 minutes
• C. 6 minutes
• D. 7 minutes

Answer 1

The Correct Option is C

Finding the Time Required for Bali to Complete the Remaining Work 

Step 1: Work Done by Lucky in 1 Minute

Lucky’s 1-minute work is:

$$\frac{1}{15}$$

Step 2: Work Done by Lucky in 10 Minutes

$$10 \times \frac{1}{15} = \frac{10}{15} = \frac{2}{3}$$

Step 3: Remaining Work

$$1 - \frac{2}{3} = \frac{1}{3}$$

Step 4: Work Done by Bali in 1 Minute

Bali’s 1-minute work is:

$$\frac{1}{18}$$

Step 5: Time Required for Bali to Complete the Remaining Work

$$\frac{1}{3} \div \frac{1}{18} = \frac{1}{3} \times 18 = 6 \text{ minutes}$$

Final Answer:

Thus, the correct answer is 6 minutes (Option C).