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Aman requires half the time required by Faizan to complete a work and 1/3 time as much as Ankit. Together all three can compete the work in 1 day. In how much time can Ankit and Faizan together complete the work

Aman requires half the time required by Faizan to complete a work and 1/3 time as much as Ankit. Together all three can compete the work in 1 day. In how much time can Ankit and Faizan together complete the work Correct Answer 11/5

Given 

If Faizan takes = 2 days 

So, Aman will take = 1 day 

And, Ankit will take = 3 days 

They altogether complete the work in 1 day

Concept used 

Work = time × efficiency

Time ∝ 1/ efficiency 

Calculation

The ratio of their time 

Aman : Faizan : Ankit = 1 : 2 : 3

So, the Ratio of their efficiency = 6 : 3 : 2

Their total efficiency of 1 day = 11 units 

They altogether complete the work in = 1 day 

So, total work = 11 × 1 = 11 units 

Faizan and Ankit together complete the work in = 11 / 5 days  

∴ Faizan and Ankit together take 11/5 days to complete the work.

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