A can do a piece of work in 30 days while B can do it in 40 days. A and B working together can do it in:Select one:a. 15 2/7 daysb. 17 1/7 daysc. 18 3/7 daysd. None of these
Question
A can do a piece of work in 30 days while B can do it in 40 days. A and B working together can do it in:Select one:a. 15 2/7 daysb. 17 1/7 daysc. 18 3/7 daysd. None of these
Solution
To solve this problem, we first need to find the rate at which A and B can complete the work individually.
- A can complete the work in 30 days, so A's rate of work is 1/30 of the work per day.
- B can complete the work in 40 days, so B's rate of work is 1/40 of the work per day.
To find out how fast they can complete the work together, we add their individual rates together:
(1/30) + (1/40) = 7/240 per day
This means that together, A and B can complete 7/240 of the work per day.
To find out how many days it would take them to complete the work together, we take the reciprocal of this rate:
240/7 = 34.2857 days
So, A and B working together can complete the work in approximately 34.2857 days.
Therefore, the correct answer is:
d. None of these
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