Anny is not a very good driver, so she drives really slow. She normally drives at a speed of 50 miles per hour if it is not raining, and 30 miles per hour if it is raining. Today she drove in the sun in the morning and in the rain in the afternoon, for a total of 120 miles in 180 minutes. How many minutes did she drive in the rain?

Respuesta :

Answer:

9.1s

Step-by-step explanation:

Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s                

Hope This Helps :)

The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.

Relationship between distance, time, and speed:

Speed is the ratio of distance traveled to the time taken for traveling.

Speed=distance/time

Unit: m/s

Given data:

It is given that,

Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.

Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.

Calculation:

Consider x be the time required to drive not in the rain and y be the time required to drive in the rain

So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)

Therefore, the total distance covered both in rain and without rain is:

50x+30y=120 (since the total distance she drove is 120 miles)

And the total time required for driving in rain and without rain is:

x + y=3 (since 180 minute = 3 hours)

On solving the above equations we get,

x=[tex]\frac{3}{2}[/tex] and y=[tex]\frac{3}{2}[/tex]

Then,

y=[tex]\frac{3}{2}[/tex]×60(minute)=90 minute

Therefore, the time taken for her to drive in rain is 90 minutes.

Refer to more distance-related problems here:

https://brainly.com/question/2854969

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