Lydia rode 243 miles in a three day bike trip. On the first day, Lydia rode 67 miles. On the second day, she rode 92 miles. How many miles per hour did she average on the third day if she rode for 7 hours?

(243 - 67 - 92)/7 = ________ mph

It gives you the total amount of miles traveled: 243 mi. In order to find out how many miles she traveled on the last day, you need to subtract the milage from the other two days:

243 - 67 - 92 = 84 mi.

Lydia traveled 84 mi on the last day.

In she rode for 7 hrs then that means she covered 84 mi during that time. In order to find mph (miles / hour) you just have to divide 84 by 7:

84/7 = 12 mph

She averaged a speed of 12 mph.

To find the average miles per hour (mph) on the third day, we need to divide the total miles ridden on the third day by the number of hours spent riding.

First, we need to find the total miles ridden on the third day. We know that Lydia rode a total of 243 miles over the three-day trip, and on the first and second day, she rode a total of 67 miles and 92 miles respectively. To find out the miles she rode on the third day, we can subtract the sum of the miles ridden on the first and second day from the total miles ridden over the entire trip.

Total miles ridden on the third day = Total miles ridden - Miles ridden on the first day - Miles ridden on the second day
Total miles ridden on the third day = 243 miles - 67 miles - 92 miles
Total miles ridden on the third day = 84 miles

Now that we know Lydia rode 84 miles on the third day, we can calculate her average mph by dividing the total miles ridden on the third day (84 miles) by the number of hours she spent riding (7 hours).

Average mph on the third day = Total miles ridden on the third day / Hours spent riding
Average mph on the third day = 84 miles / 7 hours
Average mph on the third day ≈ 12 miles per hour

Therefore, Lydia averaged approximately 12 mph on the third day of her bike trip.