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

1. 1.5 inches per minute

2. 90 inches per hour

Explanation:

speed =
`(distance)/(time)`

1. total distance covered =
`(9)/(8)` +
`(27)/(8)`

=
`(9+27)/(8)`

=
`(36)/(8)`

= 4
`(1)/(2)` inches

Total time taken =
`(3)/(4)` +
`(9)/(4)`

=
`(3 +9)/(4)`

=
`(12)/(4)`

= 3 minutes

The ants average speed =
`(4.5)/(3)`

= 1
`(1)/(2)`

= 1.5

The ants speed is 1
`(1)/(2)` inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x =
`(3)/(60)`

=
`(1)/(60)`

= 0.05 hours

Speed =
`(4.5)/(0.05)`

= 90 inches per hour

The red ants speed is 90 inches per hour.