A, B and C working together can finish of work in 8hours A can alone do it 20hours and B can alone so it 24hours in how many long hours will C alone do The same work
Answers
Answered by
1
Answer:
28
Step-by-step explanation:
as A 1s 20 Bis 4 more so C is 28
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Answered by
1
Solution :-
Time taken by A, B and C working together to finish a work = 8 hours
Work done by A, B and C working together in one hour = 1/8
Time taken by A alone to finish the work = 20 hours
Work done by A in 1 hour = 1/20
Time taken by B alone to finish the work = 24 hours
Work done by B in 1 hour = 1/24
So, work done by C = 1/8 - (1/20 + 1/24)
Taking LCM of the denominators and then solving it.
⇒ [15 - (6 + 5)]/120
⇒ (15 - 11)/120
⇒ 4/120
⇒ 1/30
So, C alone can do the same work in 30 hours.
Time taken by A, B and C working together to finish a work = 8 hours
Work done by A, B and C working together in one hour = 1/8
Time taken by A alone to finish the work = 20 hours
Work done by A in 1 hour = 1/20
Time taken by B alone to finish the work = 24 hours
Work done by B in 1 hour = 1/24
So, work done by C = 1/8 - (1/20 + 1/24)
Taking LCM of the denominators and then solving it.
⇒ [15 - (6 + 5)]/120
⇒ (15 - 11)/120
⇒ 4/120
⇒ 1/30
So, C alone can do the same work in 30 hours.
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