If A can complete a task in 10 days and B can do it in 15 days, how much work ca

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Question: If A can complete a task in 10 days and B can do it in 15 days, how much work can they complete together in 1 day?

Options:

Correct Answer: 1/6

Solution:

A\'s rate = 1/10, B\'s rate = 1/15. Combined rate = 1/10 + 1/15 = 1/6.

If A can complete a task in 10 days and B can do it in 15 days, how much work can they complete together in 1 day?

If A can complete a task in 10 days and B can do it in 15 days, how much work can they complete together in 1 day?

Step 1: Determine how much work A can do in one day. Since A can complete the task in 10 days, A's work rate is 1/10 of the task per day.
Step 2: Determine how much work B can do in one day. Since B can complete the task in 15 days, B's work rate is 1/15 of the task per day.
Step 3: Add A's work rate and B's work rate together to find their combined work rate. This is done by calculating 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 a fraction with a denominator of 30. This is 3/30.
Step 6: Convert 1/15 to a fraction with a denominator of 30. This is 2/30.
Step 7: Now add the two fractions: 3/30 + 2/30 = 5/30.
Step 8: Simplify 5/30 to 1/6. This means together, A and B can complete 1/6 of the task in one day.

Work Rate – Understanding how to calculate individual work rates and combine them to find a joint work rate.
Fraction Addition – Applying the concept of adding fractions with different denominators to find a combined rate.