164k views
3 votes
one Larva can eat a leaf in 1 day. Another larva can eat the same leaf in 2 days. How many days would it take them to eat the leaf together?

User Herson
by
8.0k points

2 Answers

6 votes

Answer:

3 fourths of a day

Explanation:

2 is double one minuse one is 1

User Furqi
by
8.8k points
6 votes

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!

User Mykyta Savchuk
by
8.2k points