A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days.

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days. If they all work together, how long will it take to complete the work?

Options:

Correct Answer: 6

Solution:

A\'s rate = 1/18, B\'s rate = 1/24, C\'s rate = 1/36. Combined rate = 1/18 + 1/24 + 1/36 = 1/6. They will complete the work in 6 days.

A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days.

Practice Questions

A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days. If they all work together, how long will it take to complete the work?

Questions & Step-by-Step Solutions

A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days. If they all work together, how long will it take to complete the work?

Step 1: Determine how much work A, B, and C can do in one day.
Step 2: Calculate A's work rate: A can complete the work in 18 days, so A's rate is 1/18 of the work per day.
Step 3: Calculate B's work rate: B can complete the work in 24 days, so B's rate is 1/24 of the work per day.
Step 4: Calculate C's work rate: C can complete the work in 36 days, so C's rate is 1/36 of the work per day.
Step 5: Add the work rates of A, B, and C together to find their combined work rate: 1/18 + 1/24 + 1/36.
Step 6: Find a common denominator to add the fractions. The common denominator for 18, 24, and 36 is 72.
Step 7: Convert each fraction to have the common denominator: A's rate becomes 4/72, B's rate becomes 3/72, and C's rate becomes 2/72.
Step 8: Add the converted rates: 4/72 + 3/72 + 2/72 = 9/72.
Step 9: Simplify the combined rate: 9/72 simplifies to 1/8.
Step 10: The combined rate of 1/8 means they can complete 1/8 of the work in one day, so to complete the entire work, it will take 8 days.

Work Rate Calculation – Understanding how to calculate individual work rates and combine them to find the total work rate.
Fraction Addition – Adding fractions with different denominators to find a common work rate.
Time and Work Relationship – Using the relationship between work rate and time to determine how long a task will take when multiple workers are involved.

A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days.

What’s inside this PDF?

A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days.

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?