Speed word problem

by Mikayla
(Oklahoma, United States)

A truck left a depot at noon traveling an average speed of 40 kilometers per hour. How far from the depot and what time will it overtake another truck, which left the same depot 2 hours earlier and was traveling 30 kilometers per hour.

Let t be the time it takes the truck traveling 40 km/h to overtake the truck traveling 30 km/h.

Then, the truck traveling 30 km/h will be overtaken in t + 2 hours

Truck traveling 40 km/h

d = vt

d = 40t

Truck traveling 30 km/h

d = vt

d = 30(t+2)


Truck traveling 40 km/h will meet with truck traveling 30 km/h when the distance is the same.


40t = 30(t + 2)

40t = 30t + 60

40t - 30t = 30t - 30t + 60

10t = 60

Since 10 times 6 = 60, then t = 6

Truck traveling 40 km/h will overtake the other truck after 6 hours or at 6:00 pm

d = 40 x 6 = 240

d = 30 x(6 + 2)

d = 30 x 8 = 240

The trucks will be 240 km away from the depot.

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to System of linear equations.





Recent Articles

  1. Linear Parent Function

    Nov 20, 17 11:18 AM

    What is a linear parent function? Crystal clear explanation.

    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





Recent Lessons

  1. Linear Parent Function

    Nov 20, 17 11:18 AM

    What is a linear parent function? Crystal clear explanation.

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

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

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz