A and B can polish the floors of a building in 25 days. A alone can do 1/3 of this job in 15 days. In how many days can B alone polish the floors of the building?
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Answered by
33
Answer:
56 days
Step-by-step explanation:
Given that A and B can polish the floors of a building in 25 days. A alone can do 1/3 of this job in 15 days.
We need to find out that how many days can B alone polish the floors of the building.
Let's say that B complete his work in x days and 1/x of the work in 1 day.
Now,
A and B polish the floor in 25 days.
In 1 day = 1/25 of the work = 0.04 of the work
A alone can do 1/3 of the job in 15 days.
1 day = 1/3 × 1/15 = 1/45 = 0.022 of the work
Therefore,
Total work done by A + B in one day = 1/25
→ 1/x + 0.022 = 0.04
→ 1/x = 0.04 - 0.022
→ 1/x = 0.018
→ x = 1/0.018
→ x = 55.56
→ x = 56 (approx.)
Therefore, B alone can polish the floor in 56 days.
Answered by
0
Answer:
56 days
is a correct answer in this question
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