The airplane could fly 2080 miles in 5 more hours than it look the sports e to drive 195 miles. The speed of the
Airplane was 4 times the speed of the sports car. What were the speed and time of each?


Sagot :

Answer:

Speed of Airplane is 260 miles per hour and the time taken is 8 hours

Speed of sports car is 65 miles per hour and the time taken in 3 hours

Step-by-step explanation:

Let the speed of airplane be "X" and the speed of Sports car be Y

Given-

Speed of the  airplane is 4 times the speed of the sports car

[tex]X = 4Y[/tex]

Also,

Airplane could fly 2080 miles in 5 more hours than it look the sports e to drive 195 miles

Time taken by sports car to travel 195 miles is [tex]\frac{195}{Y}[/tex] hours

Time taken by airplane to travel 2080 miles is 5 hours more than [tex]\frac{195}{Y}[/tex] hours

[tex]\frac{2080}{X} = \frac{195}{Y} +5[/tex]

Substituting value of X in above equation, we get -

[tex]\frac{2080}{4Y} = \frac{195}{Y} +5\\\frac{2080 - (195*4)}{4Y} = 5\\Y = 65[/tex]miles per hour

Speed of Air plane [tex]4 * 65 = 260[/tex] miles per hour

Time taken by Sports car to travel 195 miles is  [tex]3[/tex] hours

Time taken by airplane to travel 2080 miles is 8 hours