Question

Larry traveled from home to the mall at 40 mph and returned along the same route at 60 mph. What was his average speed in miles per hour?

Answer 1

Answer:

answer is given below.

Answer 2

Answer:

Larry traveled from home to the mall at 40 mph and returned along the same route at 60 mph.

His average speed in miles per hour is 48 mph.

Step-by-step explanation:

Speed is defined as the rate of change of distance. Average speed is defined as the ratio of total distance traveled to the total time elapsed.

In order to find the average speed, the total distance traveled and total time are to be calculated.

Calculation:

Given, speed of Larry from home to mall = 40 mph

Speed of Larry from mall to home = 60 mph

Let the distance from home to mall = x miles

Hence the total distance traveled = x + x = 2x miles

Time = $\frac{distance}{speed}$

Time taken to travel from home to mall = $\frac{x}{40}$ hrs

Time taken to travel from mall to home = $\frac{x}{60}$ hrs

Hence the total time elapsed = $\frac{x}{40} + \frac{x}{60}$ hrs

Average Speed = $\frac{Total distance}{Total time elapsed}$

                           = $\frac{2x}{\frac{x}{40}+\frac{x}{60} }$

                           = $\frac{2}{\frac{1}{24} }$

Average Speed = 48 mph

Hence, the average speed of Larry is 48 miles per hour.

Also find more about speed ,distance, time relation:

A motorist rides at a speed of 55 km/hr. How long will it take for him to cover a distance of 220 km if he rides at the same speed?

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Why do we consider the average speed of an object for its complete journey?​

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