If A can complete a work in 25 days and B can complete it in 30 days, how long w

₹0.0

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

What’s inside this PDF?

Question: If A can complete a work in 25 days and B can complete it in 30 days, how long will it take for both A and B to complete the work together?

Options:

Correct Answer: 15

Solution:

A\'s rate = 1/25, B\'s rate = 1/30. Combined rate = 1/25 + 1/30 = 11/150. Time = 150/11 ≈ 13.64 days.

If A can complete a work in 25 days and B can complete it in 30 days, how long w

Practice Questions

If A can complete a work in 25 days and B can complete it in 30 days, how long will it take for both A and B to complete the work together?

Questions & Step-by-Step Solutions

If A can complete a work in 25 days and B can complete it in 30 days, how long will it take for both A and B to complete the work together?

Step 1: Determine how much work A can do in one day. Since A can complete the work in 25 days, A's rate is 1/25 of the work per day.
Step 2: Determine how much work B can do in one day. Since B can complete the work in 30 days, B's rate is 1/30 of the work per day.
Step 3: Add A's rate and B's rate together to find their combined rate. This is done by calculating 1/25 + 1/30.
Step 4: To add the fractions, find a common denominator. The least common multiple of 25 and 30 is 150.
Step 5: Convert A's rate to have a denominator of 150: 1/25 = 6/150.
Step 6: Convert B's rate to have a denominator of 150: 1/30 = 5/150.
Step 7: Now add the two rates: 6/150 + 5/150 = 11/150.
Step 8: The combined rate of A and B is 11/150 of the work per day.
Step 9: To find out how long it will take for both A and B to complete the work together, take the reciprocal of their combined rate: 1 / (11/150) = 150/11.
Step 10: Calculate 150/11 to find the time in days, which is approximately 13.64 days.

Work Rate – Understanding how to calculate individual work rates and combine them to find the total work rate when multiple workers are involved.
Fraction Addition – Adding fractions with different denominators to find a combined rate.
Time Calculation – Calculating the time taken to complete work based on the combined work rate.

If A can complete a work in 25 days and B can complete it in 30 days, how long w

What’s inside this PDF?

If A can complete a work in 25 days and B can complete it in 30 days, how long w

Practice Questions

Questions & Step-by-Step Solutions

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