Terry can ride 30 miles in 2 hours. If his riding speed is
reduced by 3 mph (mile/hour), how far can he ride in 1.7 hours?
miles

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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