Question

For doing a certain work A's ability is equal to the joint ability of B and C. If A and B could do it in 9 hours and 36 minutes and C by himself in 48 hour in what time B could it alone? ​

Answer 1

Answer:

Let’s define “productivity” (P) as the amount of “work” (W) that is done in a unit of “time” (T). P=W/T

So, what the question says is that the productivity of A is the same as the productivity of B plus the productivity of C:

(1) PA=PB+PC

If A and B together do something (W) in 9 h 36 min. (9.6 h), this means:

(2) PA+PB=W/9.6

If C can do it (W) in 48 h, this means:

(3) PC=W/48

We want the time (T) that B needs to do the work alone:

(4) PB=W/T

Replacing (4) in (1) and (2) and (3) in (1), we obtain:

(5) PA=W/T+W/48

(6) PA+W/T=W/9.6

Subtracting (5) from (6):

W/T=W/9.6−W/T−W/48

1/T=1/9.6−1/T−1/48

2/T=1/9.6−1/48

2/T=10/96−2/96

2/T=8/96

1/T=4/96

T=96/4

T=24

Step-by-step explanation:

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