Respuesta :
Answer:
574.8 miles
Step-by-step explanation:
Given:
An average speed of Wilma from City A to City B = 60 miles per hour
She stayed in City B 15 hours.
An average speed of Wilma from City B to City A = 35 miles per hour.
Whole time taken including 15 hours stay in city B = 41 hours
Question asked:
How many miles is City A from City B ?
Solution:
Total time taken including 15 hours stay in city B = 41 hours
Total time taken on the trip excluding stay in city B = 41 - 15 = 26 hour
Let time taken during from city A to city B = [tex]x[/tex]
Time taken during from city B to city A = [tex]26-x[/tex]
As distance traveled from city A to city B is equal to distance traveled from city B to city A:-
And by using : [tex]Distance=speed\times time[/tex]
Distance traveled from city A to city B = Distance traveled from city B to A
[tex]speed\times time[/tex] = [tex]speed\times time[/tex]
[tex]60\times x=35(26-x)\\60x=910-35x[/tex]
Adding both sides by [tex]35x[/tex]
[tex]95x=910[/tex]
Dividing both sides by 95
[tex]x=9.58\ hours[/tex]
Distance traveled from city A to city B = [tex]speed\times time[/tex]
= 60 [tex]\times[/tex] 9.58
= 574.8 miles
Therefore, there are 574.8 miles from City A to City B.
