Starting at home, Omar traveled uphill to the gift store for 303030 minutes at just 101010 mph. He then traveled back home along the same path downhill at a speed of 303030 mph. What is his average speed for the entire trip from home to the gift store and back?

Answer: his average speed for the entire trip from home to the gift store and back is 14.99 mph.

Step-by-step explanation:

Starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10 mph. Converting 30 minutes to hours, it becomes 30/60 = 0.5 hours

Distance = speed * time

Distance covered in travelling uphill is

10 * 0.5 = 5 miles

He then traveled back home along the same path downhill at a speed of 30 mph. Since the distance is the same, then, time spent in travelling downhill is

Distance/speed

= 5/30 = 0.167 mph

Total distance = 5 + 5 = 10 miles

Total time = 0.5 + 0.167 = 0.667 hour

Average speed = total distance/total time

Average speed = 10/0.667 = 14.99 mph

The average speed is 15 mph, and which is closer to 101010 mph than 30 mph as we expected.