A does a work in 12 days and B does the same work in 18 days.In how many days they together will do the same work?
Question
A does a work in 12 days and B does the same work in 18 days.In how many days they together will do the same work?
Solution
To solve this problem, we first need to find the rate at which A and B can complete the work individually.
- The rate of A is 1 work per 12 days, or 1/12 of the work per day.
- The rate of B is 1 work per 18 days, or 1/18 of the work per day.
To find out how fast they can complete the work together, we add their individual rates together:
(1/12 work/day) + (1/18 work/day) = (18 + 12) / (12 * 18) = 30 / 216 = 5/72 work/day
This is the rate at which A and B can complete the work together. To find out how many days they will take to complete the work, we take the reciprocal of this rate:
72/5 days/work = 14.4 days/work
So, A and B together will complete the work in approximately 14.4 days.
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