Starting at home, Jessica traveled uphill to the grocery store for 18 minutes at just 20 mph. She then traveled back home along the same path downhill at the speed of 60 mph. What is her average speed for the entire trip from home to the grocery store and back?
Answers
Her average speed for the entire trip from home to the grocery store and back is 30 mph.
Step-by-step explanation:
It is given that,
Jessica travels uphill from home to the store at the speed of 20 mph in 18 minutes i.e., [3/10]hrs
So, the distance travelled by her for the uphill journey = speed * time = 20 * (3/10) = 6 miles
Also given that, she travels the same distance from the store back to home at a speed of 60 mph
∴ Time taken by her for the downhill journey = distance/speed = 6/60 = [1/10] hr
Now,
The total distance covered during the entire trip (uphill & downhill) = 6 + 6 = 12 miles
And,
The total time taken by Jessica for the entire trip = [3/10] + [1/10] = [4/10] = [2/5] hr
Thus,
Her average speed for the entire trip from home to the grocery store and back is,
= [Total Distance] / [Total Time]
= [12] / [2/5]
= 30 miles per hour
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