Question

A red ant travels 9/8 inches in 3/4 minutes and 3 3/8 inches in 2 1/4 minutes what is the ants speed in inches per minute? What is the red ants speed in inches per hour?

Answer 1

Answer:

1. 1.5 inches per minute

2. 90 inches per hour

Step-by-step explanation:

speed = $\frac{distance}{time}$

1. total distance covered = $\frac{9}{8}$ + $\frac{27}{8}$

                                      = $\frac{9+27}{8}$

                                      = $\frac{36}{8}$

                                      = 4$\frac{1}{2}$ inches

Total time taken = $\frac{3}{4}$ + $\frac{9}{4}$

                           = $\frac{3 +9}{4}$

                           = $\frac{12}{4}$

                           = 3 minutes

The ants average speed = $\frac{4.5}{3}$

                                         = 1$\frac{1}{2}$

                                         = 1.5

The ants speed is 1$\frac{1}{2}$ inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = $\frac{3}{60}$

  = $\frac{1}{60}$

  = 0.05 hours

Speed = $\frac{4.5}{0.05}$

           = 90 inches per hour

The red ants speed is 90 inches per hour.