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time, speed, and distance practice problems

Time, Speed, and Distance Practice Problems

Speed, Time, and Distance is an important topic in mathematics that is related to calculating time, rates, and distances. Every student, primary and secondary, should be well aware of this topic as this is one of the most important and most tested topics in all competitive and academic exams.

Most commonly used units of speed, time, and distance are:

  • Speed: kilometers per hour (km/h), meters per second (m/s), miles per hour (mph), feet per second (ft/s)
  • Time: seconds (s), minutes (min), hours (h), days (d)
  • Distance: kilometers (km), meters (m), miles (mi), feet (ft)

Key Formulae:

An easy way to remember initially until you get the intuition is mentioned in the below image.

  • Speed = Distance/Time
  • Distance = Speed x Time
  • Time = Distance/Speed

Practice Problems in Time, Speed, and Distance:

To convert km/h to m/s, multiply by 5/18, and to convert m/s to km/h, multiply by 18/5

Question 1:

Alan traveled 6 km by road at 2kmph and 20 km by cycle at 16 kmph and 12 km by car at 40kmph. What is the average speed of Alan?

Question 2:

A person traveled 800 meters in 1 minute. What is his speed in km/hr?

Question 3:

An airplane can travel at 500 kmph. If Jenny wants to travel a distance of 900 km in an airplane, how long will it take for Jenny to travel?

Question 4:

Aman went to his grandmother’s house in Carolina. Aman traveled 680 miles and it took him 20 hours to reach his grandmother’s place. His brother Karan also wants to travel but he wants to go in 12 hours itself. So, what is the speed at which Karan should travel in order to reach in 12 hours?

Question 5:

Simran traveled between Manila and Cebu for a road trip. While going she traveled at an average speed of 40 km/hr and while coming back she traveled at 30 km/hr. What is her average speed of the journey?

Question 6:

A man named Anuj traveled 330 km by bus at 30 km/hr and then traveled 500 km by train at 100 km/hr. What was his average speed of travel?

Question 7:

A man can run a distance of  800 meters at 2 meters/sec. What is his speed in km/hr?

Question 8:

A falcon can fly at a speed of 52 km/hr. What is the time taken by the falcon to travel 832 km from Sydney to nearby Mildura?

Hope this is useful, thank you.

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