A can do a work in 40 days and B in 28 days. In how many days will both A and B complete the same work by working together? Mark the approximate answer.A14 daysB10 daysC16 daysD20 days
Question
A can do a work in 40 days and B in 28 days. In how many days will both A and B complete the same work by working together? Mark the approximate answer.A14 daysB10 daysC16 daysD20 days
Solution
To solve this problem, we first need to find the rate at which A and B can complete the work.
- A can complete the work in 40 days, so A's work rate is 1/40 of the work per day.
- B can complete the work in 28 days, so B's work rate is 1/28 of the work per day.
When A and B work together, their combined work rate is the sum of their individual work rates.
So, the combined work rate of A and B is 1/40 + 1/28 = 0.025 + 0.0357 = 0.0607 (approximately) of the work per day.
To find out how many days they will take to complete the work together, we divide the total work (which is 1, because it's the whole work) by their combined work rate:
1 / 0.0607 = 16.47 days (approximately)
So, the closest answer is C16 days.
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