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JohnPositivity
Let's say A's rate of work per day is R_A and B's rate of work per day is R_B.

Given that A and B together can complete the work in 10 days, their combined rate is 1/10.

Also, we know that A alone can finish the work in 15 days, so A's rate is 1/15.

To find how long B alone would take, we use the fact that their combined rate equals the sum of their individual rates. So:

(1/15) + R_B = 1/10

By solving for R_B, we get:

R_B = (1/10) - (1/15) = 1/30

This means B can complete 1/30 of the work per day.

To find out how many days B alone would take to complete the whole work, we take the reciprocal of B's rate:

Number of days for B alone = 1 / R_B = 1 / (1/30) = 30

Therefore, B alone would take 30 days to complete the same work.
lo286907

Answer: It would take B about 30 days to complete the work alone

Step-by-step explanation:

A + B = 1/10

if A works alone, it can complete the work in 15 days which gives us

1/15

Substitute the value of A into the equation for the combined rate of work:

1/15 + B = 1/10

subtract 1/15 from both sides and to subtract the fractions, find the common denominator, which is 30.

B= 1/30

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