Miles Per hour: Read plz?

Question

What is the average rate, in miles per hour, of a car that travels 20 miles at 40 miles per hour and then 10 miles at 60 miles an hour?

Answer 1

20 miles/40 mph = 1/2 hour = 30 minutes
10 miles/60mph = 1/6 hour = 10 minutes

Total distance traveled: 30 miles
Total time: 40 minutes

Average rate = 3/4 miles per minute * (60 minutes/hour) = 45mph

Answer 2

The key phrase to remember when doing average rate (or average speed) problems is this: average speed is the total distance traveled divided by the total time.

What was the total distance? The first part was 20 miles, and the second part was 10 miles, therefore the total distance was 30 miles.

What was the total time? Speed = distance/time, so time = distance/speed. So the total time is (20mi/40mph) + (10mi/60mph), which is (10/20) + (10/60) = (30/60) + (10/60) = 40/60 = 2/3 of an hour.

So the average rate was 30 / (2/3) = 90/2 = 45 mph.

Answer 3

This problem is a distance, rate, time problem.

d = rt
or t = d/r
or r = d/t

We will need all of them.

d = d1 + d1 = 20 + 10 = 30 miles

t1 = d1/r1 + d2/r2 = 20/40 + 10/60 = 1/2 + 1/6 = 2/3 hour
Note: Since we are dealing with miles per hour we want the time in hours, not minutes.

Average rate r:
r = d/t = (30 miles)/(2/3 hour) = 45 miles/hour = 45 mph

Answer 4

20 miles @40 mph means the car traveled for 1/2 hour. 10 miles @ 60 mph means a 10 minute drive. So, this car drove 30 miles in 40 minutes. That's 45 mph.

Answer 5

The car traveled at 40 miles per hour for 1/2 hour, then at 60 miles an hour for 1/6 hour. So the total time was 2/3 hour.

The car traveled 30 miles total in 2/3 hour, so its average speed is

30 / (2/3) = 45 miles per hour.

Answer 6

Average normally can be calculated by adding the terms and dividing by the number of terms.
This is not true for terms that represent rate, i.e. something divided by other thing.
Miles per hour is distance divided by time. It is a rate.
To find average in such conditions, one has to find total of numerator and divide by total of denominator.
30miles divided by (30minutes+10minutes)
or 45 miles per hour

Answer 7

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