Answer:
2/3 of a day
Explanation:
If one larva can eat a leaf in 1 day and another larva can eat the same leaf in 2 days, we can calculate their combined eating rate to determine how long it would take them to eat the leaf together.
The first larva can eat a leaf in 1 day, so its eating rate is 1 leaf per day.
The second larva can eat a leaf in 2 days, so its eating rate is 1/2 leaf per day (since it takes twice as long).
To find the combined eating rate, we add up their individual rates:
Combined eating rate = 1 leaf per day + 1/2 leaf per day = 3/2 leaf per day.
Now, to determine how many days it would take them to eat the leaf together, we can calculate the reciprocal of the combined eating rate:
Time = 1 / (combined eating rate)
Time = 1 / (3/2)
Time = 2/3 days.
Therefore, it would take them 2/3 of a day (approx. 0.67 days) to eat the leaf together.
Hope it helps!