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A bus driver follows a morning route and an afternoon route each day. Because there are more cities on the morning route, the average speed is 12 miles per hours less than the afternoon route. She covers 70 miles on the morning route in the same amount of time she covers 100 miles on the afternoon route. Find the average speed on the afternoon route

Respuesta :

Answer: The average speed on the afternoon route is 40 miles per hour.

Step-by-step explanation:

Let the average speed of afternoon route be 'x'.

Let the average speed of morning route be 'x-12'.

Distance covered on the morning route = 70 miles

Distance covered on the evening route = 100 miles

Since they take the same amount of time.

So, our equation becomes,

[tex]\dfrac{70}{x-12}=\dfrac{100}{x}\\\\70\times x=100(x-12)\\\\70x=100x-1200\\\\1200=100x-70x\\\\1200=30x\\\\x=\dfrac{1200}{30}\\\\x=40[/tex]

Hence, the average speed on the afternoon route is 40 miles per hour.

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