Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in ________.
- A15 days
- B60 days
- C20 days
- D10 days
Solution & Step-by-step Explanation
Let the efficiency of Baldev be 1. Then the efficiency of Akash is 3.
The ratio of time taken by Akash and Baldev is inversely proportional to their efficiencies:
Ratio of time (Akash : Baldev)=1:3
Let the time taken by Akash be x days and Baldev be 3x days.
The difference in time is 40 days:
3x−x=40⟹2x=40⟹x=20 days
So, Akash takes 20 days and Baldev takes 3×20=60 days.
Total work = Efficiency×Time=3×20=60 units.
Combined efficiency of Akash and Baldev = 3+1=4 units/day.
Time taken together=
Combined Efficiency
Total Work
=
4
60
=15 days
The ratio of time taken by Akash and Baldev is inversely proportional to their efficiencies:
Ratio of time (Akash : Baldev)=1:3
Let the time taken by Akash be x days and Baldev be 3x days.
The difference in time is 40 days:
3x−x=40⟹2x=40⟹x=20 days
So, Akash takes 20 days and Baldev takes 3×20=60 days.
Total work = Efficiency×Time=3×20=60 units.
Combined efficiency of Akash and Baldev = 3+1=4 units/day.
Time taken together=
Combined Efficiency
Total Work
=
4
60
=15 days