Question

A car travels 240 km in 2.0 hrs and a sprinter travels a 100. m in 9.5 s. Which is traveling faster and by how much?

Answer 1

Car: (convert first the units)
240 km * (1000 m /1 km) = 240000 m
2 hr * (3600 s / 1 hr) = 7200 s
v = d/t
v = 240000/7200
v = 33.33 m/s

Sprinter:
v = d/t
v = 100/9.5
v = 10.53 m/s

thus the car travels faster than sprinter by 33.33 - 10.53 = 22.8 m/s

Answer 2

the car goes faster by a difference of 22.8 m\s

Step-by-step explanation:

First we calculate the speed of each with the following formula

`V= (d)/(t) \\V= (100m)/(9.5s) \\V= 10.5 (m)/(s)`

`V= (240 Km)/(2 h)\\ V= 120 Km/h`

To be able to compare which is faster we must use the same units

we transform from km per hour to m per second

`120(Km)/(h).(1000m)/(1Km)= 120000 (m)/(h)\\120000 (m)/(h).(1h)/(3600s)= 33.3 (m)/(s)`

To know how much faster the car goes we subtract the speed of the car with that of the sprinter

`(33.3-10.5)(m)/(s)= 22.8 (m)/(s)`