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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
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