5. A car that travels 20 miles ina car that travels 30 mileshour at constant speed is traveling at the same speed asar at a constant speed. Explain
Accepted Solution
A:
Question:A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3/4 hour at constant speed. ExplainAnswer:Both the car travels at the same speed of 40 miles per hour
.Step-by-step explanation:Given:
car 1 :Distance travel car 1 travels =20 miles Time taken = 1/2 hour
car 2
:Distance travel car 1 travels =30 miles Time taken = 3/4 hour
Solution:
Let the speed at which car 1 travels be x
Let the speed at which car 2 travels be y Finding the speed of car 1
:Speed of car 1,[tex]x =\frac{distance}{time}[/tex]=>[tex]x=\frac{20}{(\frac{1}{2})}[/tex]=>[tex]x=20\times \frac{2}{1}[/tex]=>x = 40 miles per hour
Finding the speed of car 2
: Speed of car 2,[tex]y =\frac{distance}{time}[/tex]=>[tex]y=\frac{30}{(\frac{3}{4})}[/tex]=>[tex]y=30\times \frac{4}{3}[/tex]=>[tex]y=\frac{120}{3}[/tex]=>x = 40 miles per hour