If all of them work together

Algebra Level 2

Olive and Arif can do a work in 42 42 days.

Arif and Fahim can do it in 45 45 days and

Olive and Fahim can do it in 90 90 days.

If all of them work together, in how many days they can finish the work?

18 48 35 24 10

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1 solution

Nazmus Sakib
Nov 20, 2017

Olive and Arif can do in 1 1 day= 1 42 \dfrac{1}{42} work

Arif and Fahim can do in 1 1 day= 1 45 \dfrac{1}{45} work

Olive and Fahim can do in 1 1 day= 1 90 \dfrac{1}{90} work

2 (Olive+Arif+Fahim) 2\text{(Olive+Arif+Fahim)} can do in 1 1 day

= 1 42 + 1 45 + 1 90 = 2 35 work =\dfrac{1}{42}+\dfrac{1}{45}+\dfrac{1}{90}=\dfrac2{35} \text{work}

so, (Olive+Arif+Fahim) \text{(Olive+Arif+Fahim)} can do in 1 1 day

= 2 35 × 2 = 1 35 work =\dfrac{2}{35\times 2}=\dfrac{1}{35} \text{work}

so,

If (Olive+Arif+Fahim) \text{(Olive+Arif+Fahim)} work together in 35 \boxed{35} days they can finish the work

How did you get 18? Shouldn't the answer be 9?

Blan Morrison - 3 years, 4 months ago

@Brilliant Mathematics This solution is still faulty, because it states that the answer is 18.

Blan Morrison - 3 years, 4 months ago

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Thanks. I've updated the solution as well.

Brilliant Mathematics Staff - 3 years, 4 months ago

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