Amita can build a room in the same amount of time that Bina and Sita working together can build. If Amita and Bina together could do it in 25 days and Sita alone in 35 days, then how many days are required for Bina alone to do the same work?

Question

Question

This question was previously asked in

SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)

Answer 1

Given:

Amita can build a room in the same amount of time that Bina and Sita working together can build.

Amita and Bina together can do it in 25 days.

Sita alone can do it in 35 days.

Formula Used:

Let A, B, and S be the work rates of Amita, Bina, and Sita respectively.

1/A = 1/B + 1/S

1/A + 1/B = 1/25

1/S = 1/35

Calculation:

1/A - 1/B = 1/35

1/A + 1/B = 1/25

Subtracting the first equation from the second,

2/B = 1/25 - 1/35

2/B = (7 -5) / 175

2/B = 2/ 175

1/B = 1/175

So, Bina alone can do the work in 175 days.

∴ The correct answer is option (4).

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