Question

Please help!!!

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?

Answer 1

Average speed = $\frac{Total Distance}{Total Time}  $

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

= $\frac{6}{0.4}  $

= 15 mph

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