Math, asked by abhayganesh1730, 8 months ago

If A, B and C can do a job working alone in 12, 18 and 36 days respectively. They all work together for 2 day, then B quits. How many days will A and C take to finish rest of the job?

A) 9 B) 6 C) 3 D) 4

Answers

Answered by BrainlyBAKA
0

"A can complete the job alone in 12 days, so A can complete 1/12 of the job in one day

"Similarly B and C can complete 1/18 and 1/36 of the job respectively.

"So if A, B and C work together for 2 days, then the amount of job completed will be 2(1/12 + 1/18 + 1/36) = 2(3/36 + 2/36 + 1/36) = 2(6/36) = 2/6 = 1/3 of the job.

"B quits and the amount of job left is 1 - 1/3 = 2/3

"So, let the no. of days taken by A and C to complete the rest of the job together be n

"Therefore n(3/36 + 1/36) = 2/3

"Or n(4/36) = 2/3

"Or n/9 = 2/3

"Or n= 2/3 × 9 = 2×3 = 6

"So, A and C will take 6 days to finish the rest of the job.

"HOPE IT HELPS

"PLEASE MARK ME BRAINLIEST ☺️

Similar questions