Question

A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 24 minutes? How far will it travel in 1 hour?

Answer 1

Answer:

a) distance traveled is 16 miles.

b) distance traveled is 40 miles.

Step-by-step explanation:

Speed is a scalar quantity which describe the rate of distance moved with time.

i.e speed = $\frac{distance}{time}$

Given that: distance = 2 1/3 miles = $\frac{7}{3}$ miles, time = 3 1/2 minutes = $\frac{7}{2}$ minutes.

Then;

speed = $\frac{7}{3}$ ÷ $\frac{7}{2}$

          = $\frac{7}{3}$ x $\frac{2}{7}$

          = $\frac{2}{3}$

The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

              = $\frac{2}{3}$ x 24

              = 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

              = $\frac{2}{3}$ x 60

              = 40

distance traveled is 40 miles.