An insect traveled at a speed of 200 yards per hour for 60 minutes then it traveled for 15 minutes at twice its original speed. What is the total number of yards this insect traveled?

300 yards

Step-by-step explanation:

First, identify what you know:

1) The insect traveled at a speed of 200 yards per hour for 60 minutes

2) The insect then traveled for 15 minutes at twice its original speed.

We can break this problem into two parts, to find out how many yards the insect went in the first 60 minutes, and the next 15 minutes.

200 yards = 1 hour

1 hour = 60 minutes

60 minutes = 200 yards

So, the insect traveled 200 yards, in 60 minutes.

Now, in the the nest 15 minutes, the insect traveled twice it's original speed (200 x 2), for 15 minutes.

200 x 2 = 400 yards per hour

400 x 0.25 = 100

So, the insect traveled 200 yards in 60 minutes, and then another 100 yards in the next 15 minutes.

200 + 100 = 300 yards total

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.