the person A can do a work in 5 days and person B can do it in 8 days . In how many days will they do it together ?
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Answer:
they both can do it in 1\13 ,days
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Step-by-step explanation:
First, let’s find the rates at which A and B complete the work. This can be found with the formula:
Work/Time
A takes 5 days to finish 1 “work”, and B takes 10 days to finish 1 “work”. So, we find:
A’s rate = 1/5 work per day
B’s rate = 1/10 work per day
We want to find the rate at which A and B are working together. By adding the individual rates, we get:
A and B’s rate = 1/5 work per day + 1/10 work per day = 3/10 work per day
Since they get 3/10s of the work done each day, in total it will take:
1/(3/10) = 10/3 days to complete work, or 3 1/3 days, or if they ask you to round to the nearest tenth (for example), 3.3 days.
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