MATH SOLVE

2 months ago

Q:
# During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at alconstant rate. Suppose a penny is dropped from a skyscraper and could travel 153 kilometersin 5 hour at a constant rate. Which of these objects has a faster unit rate per hour? How muchfaster?

Accepted Solution

A:

Answer:The rocket has a faster unit rate and is [tex]219\ km/h[/tex] much faster than the pennyStep-by-step explanation:Find the unit rate of each object and the compare the resultsstep 1 Find the unit rate per hour of the rocketTo find the unit rate divide the total distance by the timeLetd -----> the distance in kmt -----> the time in hourswe have[tex]d=208\ km[/tex][tex]t=50/60=5/6\ h[/tex]Find the unit rate[tex]208/(5/6)=208*6/5=249.6\ km/h[/tex]step 2Find the unit rate per hour of the pennyTo find the unit rate divide the total distance by the timeLetd -----> the distance in kmt -----> the time in hourswe have[tex]d=153\ km[/tex][tex]t=5\ h[/tex]Find the unit rate[tex]153/5=30.6\ km/h[/tex]step 3 Compare the unit ratesThe units rate of rocket is [tex]249.6\ km/h[/tex]The unit rate of penny is [tex]30.6\ km/h[/tex]Find the difference[tex]249.6-30.6=219\ km/h[/tex]thereforeThe rocket has a faster unit rate and is [tex]219\ km/h[/tex] much faster than the penny