Question

Albert is thrice efficient as Bijoy and Cherry is twice as efficient as Bijoy. What is the ratio of
number of days taken by Albert, Bijoy and Cherry respectively, when they work
individually?

Answer 1

The ratio of number of days taken by Albert, Bijoy and Cherry respectively, when they work  individually is 1:3:6.

Step-by-step explanation:

It is given that,

Albert is thrice as efficient as Bijoy

So, Ratio of efficiency of Albert & Bijoy = 3:1

And,

Cherry is twice as efficient as Bijoy

So, Ratio of efficiency of Cherry & Bijoy = 2:1

∴ The ratio of the efficiency of Albert, Bijoy & Cherry will be = (3*2) : (1*2) : (1*1) = 6:2:1

We know that efficiency is inversely proportional to the time taken to complete a work i.e.,

Efficiency ∝ [$\frac{1}{Time Taken}$]

Thus,  

The ratio of the number of days taken by Albert, Bijoy and Cherry to complete the work individually is,

= [1/6] : [1/2] : [1]

multiplying throughout by the L.C.M = 6

= [(1/6) * 6] : [(1/2)*6] : [1*6]

= 1 : 3 : 6

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