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A, B and C can do a job working alone in 6, 9 and 18 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?
- a)9
- b)6
- c)12
- d)10
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A, B and C can do a job working alone in 6, 9 and 18 days respectively...
A’s 1 day work = 1/6
B’s 1 day work = 1/9
C’s 1 day work = 1/18
Let C alone worked for ‘x’ days
∵ A and B worked only for one day and C worked for (x + 1) days,
⇒ A’s 1 day work + B’s 1 day work + C’s (x + 1) days’ work = 1
⇒ 1/6 + 1/9 + (x + 1)/18 = 1
⇒ (x + 1)/18 = 13/18
⇒ x + 1 = 13
⇒ x = 13 – 1 = 12
∴ C worked alone for 12 days
Most Upvoted Answer
A, B and C can do a job working alone in 6, 9 and 18 days respectively...
Explanation:
Given Data:
- A takes 6 days to complete the job alone
- B takes 9 days to complete the job alone
- C takes 18 days to complete the job alone
Working together for 1 day:
- In 1 day, A completes 1/6 of the job
- In 1 day, B completes 1/9 of the job
- In 1 day, C completes 1/18 of the job
- Together, they complete (1/6 + 1/9 + 1/18) = 6/18 = 1/3 of the job in 1 day
After 1 day, A and B quit:
- So, 2/3 of the job is left to be completed by C alone
- Since C completes 1/18 of the job in 1 day, C will complete 2/3 of the job in (2/3) * 18 = 12 days
Therefore, C working alone will take 12 days to complete the remainder of the job. Hence, the correct answer is option 'C'.
Given Data:
- A takes 6 days to complete the job alone
- B takes 9 days to complete the job alone
- C takes 18 days to complete the job alone
Working together for 1 day:
- In 1 day, A completes 1/6 of the job
- In 1 day, B completes 1/9 of the job
- In 1 day, C completes 1/18 of the job
- Together, they complete (1/6 + 1/9 + 1/18) = 6/18 = 1/3 of the job in 1 day
After 1 day, A and B quit:
- So, 2/3 of the job is left to be completed by C alone
- Since C completes 1/18 of the job in 1 day, C will complete 2/3 of the job in (2/3) * 18 = 12 days
Therefore, C working alone will take 12 days to complete the remainder of the job. Hence, the correct answer is option 'C'.
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