Question

Q10) Beginning with the second day, the amount of work Aamir can do per day keeps doubling every day he works. Ajay can always do the work done by Aamir in 40 % less time. Owing to the increasing ability Aamir and Ajay can complete the job together in 2 days. How many days would it have taken if their efficiencies remained constant?

• A. (a) 5
• B. (b) 3
• C. (c) 4
• D. (d) 10

Answer 1

The correct option is B (b) 3

Ans:10(b)
Sol: Let the amount of work done by Aamir on the first day = a;
The amount of work done by Ajay on the first day = b; Since Ajay always takes 40% less time than Aamir, if the efficiency of Aamir doubles, Ajay’s efficiency too doubles
The amount of work done by Aamir and Ajay in 2 days = (a+b)+2(a+b) = 3(a+b) = Total work. If the efficiency remains constant, the amount of work done by Aamir and Ajay remains constant on every day .
=>Total amount of work done by Aamir and Ajay in one day= (a+b).
=>To complete total work i.e. 3(a+b), they take 3 days.