A delivery truck travels 40 miles during the first 1 hour of its route. It then travels an… — Armed Services Vocational Aptitude Battery (ASVAB)

A delivery truck travels $40$ miles during the first $1$ hour of its route. It then travels another $75$ miles in $1$ hour and $30$ minutes. What is the truck's overall average speed for the entire trip?

A
45 mph
46 mphAnswer
C
50 mph
D
115 mph

Answer

46 mph

To find the overall average speed, divide the total distance by the total time. The total distance is

40 + 75 = 115

miles. The total time is

1

hour plus

1

hour and

30

minutes. Since

30

minutes is

0.5

hours, the total time is

1 + 1.5 = 2.5

hours. Dividing

115

miles by

2.5

hours gives an average speed of

46

mph.

Step-by-Step Solution

Calculate the total distance traveled.

Total distance =

40 + 75 = 115

miles.

Average speed requires knowing the total distance of the trip.

Calculate the total time in consistent units (hours).

Total time =

1

hour +

1.5

hours =

2.5

hours.

Average speed requires the total time. The

30

minutes must be converted to

0.5

hours to match the unit.

Divide the total distance by the total time to find the average speed.

115 \div 2.5 = 46

mph.

The standard formula for average speed is total distance divided by total time.

Key Concept

Average speed is found by dividing the total distance of a journey by the total time it took to complete it.

Estimated Time:1m 0s

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