The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.Rate vs. Time
Rate (mph)
30
40
50
60
Time (h)
2.5
1.875
1.5
1.25

If one day Paula rides a scooter to work at a constant rate of 24 miles per hour, how long should it take her?
2.625 hours
2.75 hours
3.125 hours
3.75 hours

Answers

Answer 1

Answer: From the values in the table, we can multiply the speed by the time to find out the amount of miles she travels a day. This is shown below:

30 mph * 2.5 hours = 75 miles
40 mph * 1.875 hours = 75 miles
50 mph * 1.5 hours = 75 miles
60 mph * 1.25 hours = 75 miles

Therefore, she travels 75 miles to work. Given a speed of 24 mph, we divide 75 miles by 24 to find out how long it takes her to travel that far:

75 miles / 24 mph = 3.125 hours

Answer 2

Answer:

Based on the distance that Paula travels to work, and the constant speed she uses, the trip will take her 3.125 hours.

How long does Paula take to get to work?

First find the distance she travels:

= Rate x Time

= 30 x 2.5

= 75 miles

The time taken on this particular day will be:

= Distance / Speed

= 75 / 24

= 3.125 hours

Find out more on distance travelled at brainly.com/question/2854969.

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A car traveled a distance of 126 miles in 3 hours. Traveling at the same speed, what distance would this car travel in 7 hours?

Answers

Unitrate is the quantity of an amount of something at a rate of one or another quantity.

Speed is the rate at which the car is traveling x miles per hour

Speed = Distance / Time

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A car traveled a distance of 126 miles in 3 hours.

This can be written as,

126 miles = 3 hours

Multiply both sides by 3.

42 miles = 1 hour

Multiply 7 on both sides.

7 x 42 miles = 7 x 1 hour

294 miles = 7 hours.

This means that,

In 7 hours 294 miles are traveled.

Thus,

The distance that the car traveled in 7 hours at a speed of 126 miles in 3 hours is 294 miles.

Learn more about unitrates here:

brainly.com/question/11258929

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The answer is 294 miles.

If you break down to it's unit rate (126 / 3) you get 42, which is the speed per hour. Now multiply by 7 hours and you get 294 :^]

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