An insect traveled at a speed of 50 yards per hour for 70 minutes. Then it traveled for 18 minutes at twice it's original speed. What is the total number yards this insect traveled?

The answer to your question is The insect traveled 88.3 yd

Step-by-step explanation:

Data

First travel                        Second travel

speed = 50 yd/h               time = 18 min

time = 70 min                    speed = 2(50) yd/h

Formula

speed = distance / time

- Solve for distance

distance = speed x time

Process

1.- Calculate the distance travel during the first part

distance = 50 yd/h x 70/60 h

distance = 50 x 1.17

distance = 58.3 yd

2.- Calculate the distance travel during the second part

distance = 100 yd/h x 18/60

distance = 100 x 0.3

distance = 30 yd

3.- Calculate the total distance traveled

distance = 58.3 + 30

               = 88.3 yd

88 1/3 yards.

Step-by-step explanation:

For the first 70 minutes:

Distance = speed * time

The time in hours = 1 /1/6 = 7/6 hours so

Distance = 50 * 7/6 = 58  1/3 yards.

For the next 18 minutes it travels at 50 * 2 = 100 yards per hour.

Distance  = 100 * 18/60 =  30 yards.

Total distance travelled =  88 1/3 yards.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1