Question

During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at al

constant rate. Suppose a penny is dropped from a skyscraper and could travel 153 kilometers
in 5 hour at a constant rate. Which of these objects has a faster unit rate per hour? How much
faster?

Answer 1

The rocket has a faster unit rate and is
`219\ km/h` much faster than the penny

Explanation:

Find the unit rate of each object and the compare the results

step 1

Find the unit rate per hour of the rocket

To find the unit rate divide the total distance by the time

Let

d -----> the distance in km

t -----> the time in hours

we have

`d=208\ km`

`t=50/60=5/6\ h`

Find the unit rate

`208/(5/6)=208*6/5=249.6\ km/h`

step 2

Find the unit rate per hour of the penny

To find the unit rate divide the total distance by the time

Let

d -----> the distance in km

t -----> the time in hours

we have

`d=153\ km`

`t=5\ h`

Find the unit rate

`153/5=30.6\ km/h`

step 3

Compare the unit rates

The units rate of rocket is
`249.6\ km/h`

The unit rate of penny is
`30.6\ km/h`

Find the difference

`249.6-30.6=219\ km/h`

therefore

The rocket has a faster unit rate and is
`219\ km/h` much faster than the penny