If A and B work together, they will complete a job in 7.5 days.
However, if A works alone and completes half the job and
then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?
Answers
Step-by-step explanation:
• A + B one day’s work =
Let us assume that A works for x days to complete half the job
• Implies, A’s one day work =
This implies, B takes 20 – x days to complete the remaining half of the work
• Implies, B’s one day work =
Thus,
• Implies,
Simplifying this, we get,
• x * (20 – x) = 5 * 15
Comparing the terms on both sides, we can infer that x = 5
• Thus, B’s one day work =
Therefore, B alone takes 30 days to complete the entire job
Hence, the correct answer is Option C .
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Answer:
If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?
(A) 20 days
(B) 24 days
(C) 30 days
(D) 35 days
(E) 40 days