tumber1235
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Diana usually drives at average rate of 30 mph.

If Diana is able to increase her average rate by 10 mph, how many minutes would it take her to get to Tony's house?

Respuesta :

ARTiller97

Answer:

It would take Diana 18 minutes

Step-by-step explanation:

Diana's average rate is 30 miles per hour and if you add 10 miles per hour to that you get 40 miles per hour.  Since there are 60 minutes in an hour, divide 60 by 40 (the speed she travels) to find the distance traveled per minute.  You end up getting 1.5 miles per minute as your rate.  Take the total distance (12 miles) times the speed rate per minute (1.5 miles per minute) to find how long it would take to travel the distance.  The answer is 18 minutes

facundo3141592

We want to find how many minutes would take Diana to go to Tony's house if she increases her speed by 10mph.

She must travel for 18 minutes to get to Tony's house.

We know that her average speed is 30mph, so if she increases her speed by 10 mph her new speed will be 40mph.

Now, we know that Tony's house is at 12 miles, then we can use the relation:

Distance = Speed*Time

to get the time that she needs to travel to arrive at his house.

We will get:

12 mi = (40 mi/h)*T

(12 mi)/(40 mi/h) = T = 0.3 h

And we want this time in minutes, knowing that one hour has 60 minutes, then:

0.3 h = 0.3*(60 min) = 18 min

It would take 18 minutes to get to Tony's house.

If you want to learn more, you can read

https://brainly.com/question/22610586

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