A can do a piece of work in 8 days and B can do it in 10 days separately. How many days would it take for both A and B to finish the same work together?Options33/840/941/1042/11
Question
A can do a piece of work in 8 days and B can do it in 10 days separately. How many days would it take for both A and B to finish the same work together?Options33/840/941/1042/11
Solution
To solve this problem, we first need to find the rate at which A and B can complete the work separately.
- A can complete the work in 8 days, so A's rate of work is 1/8 of the work per day.
- B can complete the work in 10 days, so B's rate of work is 1/10 of the work per day.
To find out how fast they can complete the work together, we add their rates of work together:
(1/8) + (1/10) = 5/40 + 4/40 = 9/40 of the work per day.
To find out how many days it would take for them to complete the work together, we take the reciprocal of this:
40/9 days.
So, the correct answer is 40/9 days.
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