Speed word problems

The speed word problems to follow don't have complicated math equations at all. Instead, the focus is on understanding how to apply the concept of speed, distance, and time. 

Speed word problem

More interesting speed word problems

Problem #1: Calculate the average speed of a lion that runs 45 meters in 5 seconds . What could be some possible instantaneous speeds?

Solution:  The formula to get the average speed is 

Speed =
d / t

The total distance is 45 meters, so d = 45 meters.

It took the lion 5 seconds to reach a distance of 45 meters.

The total time is 5 seconds, so t = 5.

Just plug these into the formula. 

Speed =
45 / 5

d = 9 meters per second.

You could also write d = 9 m/s.

Some possible instantaneous speed for the lion could be the followings:

13 meters in 1 second      v = 13 m/s

9 meters in 1 second        v  = 9 m/s

10 meters in 1 second      v  = 10 m/s 

8 meters in 1 second        v = 8 m/s

5 meters in 1 second        v = 5 m/s

As you can see the total distance is 13 + 9 + 10 + 8 + 5 = 45

and the total time is 1 + 1  + 1 + 1  + 1 = 5  

Challenging speed word problems

Problem #2: How far is a house in New York if it takes you 5 hours to get there and your average speed is 35 miles per half hour?

First, notice that in the problem we said average speed instead of just speed. It is because you did not just do 35 miles per hour during the entire trip. Your speed changed from times to times, but the average comes to 35 miles per hour.

Second, it is convenient to convert miles per half hour to miles per hour.

35 miles per half hour is 70 miles per hour.

Lastly, convert the formula from speed to distance. 

Speed =
d / t

If    3 =
15 / 5
   Then, 15 = 3 × 5

By the same fashion,

If    Speed =
d / t
   Then, d = speed × t

Now, we have the speed and the time, we can get the distance.

d = speed × t

d = 70 × 5

d = 350 miles

Problem #3: Your turn!

How far is a house in Florida if it takes you 4 hours to get there and your instantaneous speeds were 70 miles per hour, 50 miles per hour,  60 miles per hour, 10 miles per hour, and 0 miles per hour? 

Recent Articles

  1. Introduction to Physics

    Nov 18, 20 01:20 PM

    Top-notch introduction to physics. One stop resource to a deep understanding of important concepts in physics

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

                                 Follow me on Pinterest

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.