A can do a piece of work in 10 days and B can do it in 15 days. If they work tog

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Question: A can do a piece of work in 10 days and B can do it in 15 days. If they work together, how long will they take to complete the work?

Options:

6 days
8 days
10 days
12 days

Correct Answer: 8 days

Solution:

Work done by A in one day = 1/10. Work done by B in one day = 1/15. Together, they do (1/10 + 1/15) = 1/6. Therefore, they will complete the work in 6 days.

A can do a piece of work in 10 days and B can do it in 15 days. If they work tog

Practice Questions

A can do a piece of work in 10 days and B can do it in 15 days. If they work together, how long will they take to complete the work?

6 days
8 days
10 days
12 days

Questions & Step-by-Step Solutions

A can do a piece of work in 10 days and B can do it in 15 days. If they work together, how long will they take to complete the work?

Step 1: Determine how much work A can do in one day. A can complete the work in 10 days, so in one day, A does 1/10 of the work.
Step 2: Determine how much work B can do in one day. B can complete the work in 15 days, so in one day, B does 1/15 of the work.
Step 3: Add the work done by A and B together. This means we calculate (1/10 + 1/15).
Step 4: To add 1/10 and 1/15, find a common denominator. The least common multiple of 10 and 15 is 30.
Step 5: Convert 1/10 to 3/30 and 1/15 to 2/30. Now add them: 3/30 + 2/30 = 5/30.
Step 6: Simplify 5/30 to 1/6. This means together, A and B can complete 1/6 of the work in one day.
Step 7: To find out how many days it takes to complete the whole work, take the reciprocal of 1/6. This gives us 6 days.

Work Rate – Understanding how to calculate the work done by individuals and their combined work rate.
Fraction Addition – Adding fractions to find the total work done per day when multiple workers are involved.

A can do a piece of work in 10 days and B can do it in 15 days. If they work tog

What’s inside this PDF?

A can do a piece of work in 10 days and B can do it in 15 days. If they work tog

Practice Questions

Questions & Step-by-Step Solutions

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