Question

5. A car that travels 20 miles in
a car that travels 30 miles
hour at constant speed is traveling at the same speed as
ar at a constant speed. Explain

Answer 1

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,$x =\frac{distance}{time}$

=>$x=\frac{20}{(\frac{1}{2})}$

=>$x=20\times \frac{2}{1}$

=>x = 40 miles per hour

Finding the speed of car 2 :

Speed of car 2,$y =\frac{distance}{time}$

=>$y=\frac{30}{(\frac{3}{4})}$

=>$y=30\times \frac{4}{3}$

=>$y=\frac{120}{3}$

=>x = 40 miles per hour