Maths-
General
Easy

Question

A and B can finish a work in 20 days. A alone can do 1/5th of the work in 12 days. In how many days can B alone do it?

Hint:

Hint:
When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.

The correct answer is: 30 days.


    Let’s say that the total work can be represented as W and let’s say the amount of work that A can do in one day is WA and the amount of work that B can do in one day is WB.
    Step 1 of 3:
    It is given that A alone can do 1/5th of the work in 12 days.
    So, Work done by A in one day(WA) = fraction numerator w over 5 over denominator 12 end fraction = w over 60…….(1)
    Step 2 of 3:
    It is given that A and B can finish a work in 20 days. So we can write
    WA  cross times 20 + WB cross times 20 = W
    Using equation (1)
    w over 60 + WB  = w over 20
    WB  = w over 30
    Step 3 of 3:
    Now, the time taken by B complete w over 30 amount of work = 1 day
    So, time taken by B to complete W amount of work = fraction numerator 1 over denominator W over 30 end fraction space cross times space W = 30 days
    Final Answer:
    Hence, the time that will B to complete the whole work is 30 days.

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