lilpeepxliltracy
20.12.2019 •
Mathematics
2cars raced at a track. the faster car traveled 20mph faster than the slower car. in the time that the slower car traveled 165 miles, the faster car traveled 225 miles. if the speeds of the cars remained constant, how fast did the slower car travel during the race.
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Ответ:
The speed of slower car is 55 miles per hour.
Step-by-step explanation:
Given as :
The speed of slower car = = s mph
The speed of faster car = = ( s + 20 ) mph
The distance cover by slower car = = 165 miles
The distance cover by faster car = = 225 miles
The time taken by both cars for travelling = t hours
The speed of the cars remains constant
Now, According to question
∵ Time =
So, For slower car
t =
Or, t = ............1
So, For faster car
t =
Or, t = ............2
Now, equating both the equations
I.e =
By cross multiplying
Or, 225 × s = 165 × (s + 20)
Or, 225 s = 165 s + 3300
Or, 225 s - 165 s = 3300
Or, 60 s = 3300
∴ s =
I.e s = 55 miles per hour
So , The speed of slower car = = s = 55 miles per hour
Hence , The speed of slower car is 55 miles per hour. Answer
Ответ:
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Step-by-step explanation: