Answer:
Time taken by first team by their own = 10 days
Time taken by second team by their own = 15 days
Step-by-step explanation:
Given that:-
The ratio of the number of days taken by the first team to that of second team = 2:3
Let the number of days taken by first team = 2x days
Let the number of days taken by second team = 3x days
Let the work to be done = 6x units
So, Efficiency of first team = 6x units / 2x days = 3 units/day
Efficiency of second team = 6x units / 3x days = 2 units/day
If they work together they complete in 6 days, then total efficiency = 5 units/day
So,
5 units/ day * 6 days = 6x units
x = 5 units
Total work = 30 units
<u>Time taken by first team by their own = 30 units / 3 units/day = 10 days</u>
<u>Time taken by second team by their own = 30 units / 2 units/day = 15 days</u>
