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. Explain
Answer:
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