A passenger train travels 80 miles in 2 hours. It then switches to a regional track and tr… — Armed Services Vocational Aptitude Battery (ASVAB)

A passenger train travels $80$ miles in $2$ hours. It then switches to a regional track and travels an additional $30$ miles in $3$ hours. Calculate the train's overall average speed for the entire journey.

Answer:The train's overall average speed is 【22】 miles per hour.

Answer

To calculate the average speed for the entire journey, determine the total distance traveled (

80 + 30 = 110

miles) and the total time taken (

2 + 3 = 5

hours). Dividing the total distance by the total time (

110 \div 5

) gives an average speed of

22

miles per hour.

Step-by-Step Solution

Calculate the total distance traveled.

80 + 30 = 110 miles

Average speed requires the total distance for all segments of the trip combined.

Calculate the total time taken.

2 + 3 = 5 hours

Average speed requires the total time duration for all segments.

Divide the total distance by the total time.

110 / 5 = 22

The formula for overall average speed is Total Distance divided by Total Time.

Key Concept

Average speed is found by dividing the total distance by the total time, not by averaging the individual speeds of different segments.

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