Starting at home, ishaan traveled uphill to the gift store for 18 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?

Average speed =

Ishan's Speed uphill = 10mph

Time taken = 18 minutes = 18/60 = 3/10 hours

Now distance = rate × time

Distance traveled by Ishaan up hill = 10 × 3/10 = 3 miles

Now returning back home

Distance = 3 miles

Rate = 30 mph

So time taken = distance/ rate = 3/30= 1/10 hours = 1/10 ×60 = 6 minutes.

Now total distance traveled = 3 + 3 = 6 miles

Total time taken = 18 + 6 = 24 minutes = 24/60 = 2/5 hours

Average speed

=

= 15 mph

Ishaan's average speed for the entire trip from home to the gift store and back is 15mph

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