Starting at home, michael traveled uphill to the gift store for 24 minutes at just 10 mph. he then traveled back home along the same path downhill at a speed of 30 mph. what is his average speed for the entire trip from home to the gift store and back?

We can figure out how long Michael's trip took by realizing that 30 mph is 3 times 10 mph.  Because of this, the trip home will take 1/3 the amount of time it took to go up the hill.  This makes the equation 24 + 8 = 32 minutes for the whole trip.

Now we need to figure out how long the trip was.  We can do this by multiplying 10 minutes by 24/60, which equals 4.  This means that Michael went 4 miles there, and 4 miles back.  So Michael went a total of 8 miles.

Now we know that Michael went 8 miles in 32 minutes.  Now, we multiply 8 by 60/32.  This gives us 15, so Michael went 15 miles per hour on average in the trip.