Question

A can complete a work in 24 days, B can complete it in 32 days and C can complete it in 60 days. They started
working together. A left after working 6 days and B left after working for 8 days. The remaining work was done by by
C alone. How long did they take to complete the work?​

Answer 1

$\huge \mathscr{\orange {\underline{\pink{\underline {Answer:-}}}}}$

A work rate is 1/24 or 20/480 per day.

B work rate is 1/32 or 15/480 per day.

C work rate is 1/60 or 8/480 per day.

Combined rate of A ,B & C is 43/480 per day.

For the first 6 days they all worked together so 43/480 x 6 = 258/480 of the work is completed with a outstanding balance of 222/480 work remaining. (A left work)

From day 7 to day 15 = 8 days B & C now working together 15/480 + 8/480 = combined rate of 23/480 for 8 days = 184/840 additional work completed = 442/480 completed = 38/480 of work outstanding for C to complete.

C daily work rate is 8/480, Work outstanding =38/480 

Answer: 4.75 Days.