A and B can complete a task in 15 days and 20 days respectively. How much work c

₹0.0

Question: A and B can complete a task in 15 days and 20 days respectively. How much work can they complete together in 1 day?

Options:

Correct Answer: 1/12

Solution:

Work rate of A = 1/15, B = 1/20. Together = 1/15 + 1/20 = 7/60. They can complete 7/60 of the work in 1 day.

A and B can complete a task in 15 days and 20 days respectively. How much work can they complete together in 1 day?

A and B can complete a task in 15 days and 20 days respectively. 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 15 days, A's work rate is 1/15 of the task per day.
Step 2: Determine how much work B can do in one day. Since B can complete the task in 20 days, B's work rate is 1/20 of the task per day.
Step 3: Add the work rates of A and B together to find out how much work they can do together in one day. This is calculated as 1/15 + 1/20.
Step 4: To add 1/15 and 1/20, find a common denominator. The least common multiple of 15 and 20 is 60.
Step 5: Convert 1/15 to a fraction with a denominator of 60. This is 4/60.
Step 6: Convert 1/20 to a fraction with a denominator of 60. This is 3/60.
Step 7: Now add the two fractions: 4/60 + 3/60 = 7/60.
Step 8: Therefore, A and B together can complete 7/60 of the work in one day.

Work Rate – Understanding how to calculate the rate of work done by individuals and combining their rates.
Fraction Addition – Adding fractions with different denominators to find a combined work rate.