Question

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?​

Answer 1

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 2

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