Q. 73.8( 22 Votes )
A, B and C working together can finish a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?
Answer :
Number of hours A required do a piece of work : 20 hours
Number of hours B required do a piece of work : 24 hours
Let number of hours C required to do a piece of work : X hours
Number of hours required by A, B and C together to do a piece of work : 8 hours
Work done by A in one hour:
Work done by B in one hour:
Work done by C in one hour:
Work done by A, B and C together in a one hour :
Work done by A, B and C together in one hour : =
=
=
=
⇒ 88X +960 = 120X
⇒ 32X = 960
⇒ X = = 30 hours
C can do the work 30 hours.
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PREVIOUSA can do a piece of work in 24 hours while B alone can do it in 16 hours. If A, B and C working together can finish it in 8 hours, in how many hours can C alone finish the work?NEXTA and B can finish a piece of work in 16 days and 12 days respectively. A started the work and worked at it for 2 days. He was then joined by B. Find the total time taken to finish the work.
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