If A can complete a work in 16 days, B can complete the same work in 18 days and C in 24 days. How long will all three of them will take to complete the work by working together.
Answers
Answered by
9
Answer:
4.6days
Step-by-step explanation:
A's work in one day = 1÷16
B's work in one day =1÷18
C's work in one day = 1÷24
working together in one day = 1÷16+1÷18+1÷24
= 9+8+14÷144 ( Lcm)
=31÷144
= 1÷4.64
=4.64
hope it helps u mark me as the brainliest
Answered by
3
Since it takes A 16 days to complete the work, assuming A does equal amount of work on each day, each day A completes 1/16th of the work.
A’s work rate is 1/16 work per day.
By the same logic, we can get the work rate for B, which is 1/18 work per day, and C, which is 1/24 work per day.
Assuming they don’t get in each other’s way, their combined work rate is the sum of their individual work rates.
1/16 + 1/18 + 1/24 = 1104/6912 = 23/144 work per day
How long will it take to finish the work?
The nice thing about work per day is that getting it to be days per work requires just flipping the fraction.
Days to complete work is 144/23 = 6.26 days
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