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Question

Melissa travels 902 miles from Edison, NJ to Jacksonville, Florida at an average speed of 45 miles per hour She makes the return trip driving an average of 60 miles per hour. What is the average rate for the entire trip?

Answer 1

1. using the familiar formula D=RT, determine the time taken in the first trip.

2. similarly, determine the time taken in the second trip.

3. add the two times found; the average speed in miles per hour is total distance (1804 miles) divided by total time.

Answer 2

You need two things to find the average rate: the total distance and the total time. We have the total distance -- 2 * 902 = 1804 miles. What we don't yet have is the total time. Let's go find it!

Remember that D = R * T . Plug in the first set of values and you have...

902 = 45 * T

/45   /45

20.04... = T

Do it again with the second data set:

902 = 60 * T

/60   /60

15.03... = T

The total time is 35. 07...

Now we plug this into the formula again:

1804 = R * 35.07

/35.07     /35.07

51.43 = R