Respuesta :
Answer: 20.4 miles
Explanation:
Here we need to use the equation:
Velocity = Distance/Time.
Initially we have that he can travel 30 miles in 2 hours, so the velocity is:
V = 30mi/2h = 15mph
Now, we reduce the velocity by 3 mph, so the new velocity is 15mph - 3 mph = 12mph.
Now we want to know the distance traveled in 1.7 hours with this velocity, this is.
Velocity*Time = Distance
12mi/h*1.7h = 20.4 miles
When Terry's initial riding speed is reduced by 3 mph, he can ride 20.4 miles in 1.7 hours.
The initial speed of Terry is:
[tex] v_{i} = \frac{30 mi}{2 h} = 15 \:mph [/tex]
Now, when his riding speed is reduced by 3 mph, we have:
[tex] v_{f} = v_{i} - 3 \:mph = 15 \:mph - 3\:mph = 12 \: mph [/tex]
So, the distance that he can travel with this new speed is:
[tex] d = v_{f}*t = 12\: mph*1.7 h = 20.4 mi [/tex]
Therefore, Terry can ride 20.4 miles in 1.7 hours.
You can find more about velocity and distance here: https://brainly.com/question/12626613?referrer=searchResults
I hope it helps you!
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