A and B can do a task in 12 hours, while B and C can do the same task in 20 hours and C and A can complete the same work in 10 hours. In how many hours will all three of them finish the task working together?
Answers
Step-by-step explanation:
Solution :
A and B can do a task in 12 hours, while B and C can do the same task in 20 hours and C and A can complete the same work in 10 hours.
So, in 1 hour
A and B does 1/12 th of the entire work
B and C does 1/20th of the entire work
A and C does 1/10th of the entire work
Adding them
2 [ A + B + C ] does 1/12 th + 1/20 th + 1/10th in an hour
=> 2 [ A + B + C ] > 7/30 th of the work in an hour .
=> A , B and C does 7/60th of the entire work in 1 your .
They take 60/7 hours to finish the entire work together
=> 8 (4/7 ) hours
This is the required answer .
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Answer:
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