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

Answer:

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

Step-by-step 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