Question

6. A, B and C working together can do 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?plzzzzz dsdo test chlrya aw plzzzzzzzz​

Answer 1

Answer:

30 hrs

Step-by-step explanation:

A can do a piece of work in 20 hours

Work done by A in 1 hour = 1/20

B can do same work in = 24 hours

Work done by B in 1 hour = 1/24

A, B and C working together can do the same work in = 8 hours

Work done by A, B, C together in 1 hour = 1/8

We know that,

Work done by C in 1 hour = (work done by A,B and C in 1 hour) – ( work done by A And B in 1 hr.)

= 1/8 – (1/20 + 1/24)

= 1/8 – 11/120

= (15-11)/120 (by taking LCM for 8 and 120 which is 120)

= 4/120

= 1/30

∴ Time taken by C alone to complete the work = 1/(1/30) = 30hours.