An image of students in classroom.

Who Makes It to School on Time? A Simple Speed Puzzle


Math could be a great training for the mind. It's fun, time-passing, and could teach us how to calculate everyday problems. 

 

Practicing with math could help our problem-solving skills and our attention to small details. 

 

The mathematics problem. 

This is a simple problem that you can try and solve, and beneath it is its solution to see if you got it correct or not. 

 

Let's say 3 students meet on a road. And they need to go to school. Mike, Danny, and Mark. 

 

All of them have to be at 7 in school. 

Mike is standing in front of his school. 

The other two schools are on the same line but farther. 

 

And it's 6:30. 

 

Danny's school is 1.7 miles, and he begins walking at a speed of around 3 miles an hour. 

 

Mark's school is 3 miles away, and he begins running at a speed of around 6.5 miles an hour. 

 

Which one of the two will get to their school on time?

 

Try and solve it. 

 

Cauculation 

Danny:

3 miles ⇒ 1 hour 

1.7 miles ⇒ x 

 

1 × 1.7 = 1.7 

3x = 1.7 

1.7 / 3 = 0.56 

 

0.56 × 60 minutes = 33.6 

 

So Danny doesn't arrive on time. He's late by 3.6 minutes. 

 

Another way of calculating:

Distance = 1.7 miles 

Speed = 3 mph 

 

Use time = distance ÷ speed. 

t = 1.7 ÷ 3 

t = 0.56 

 

0.56 × 60 = 33.6 minutes 

 

Mark:

6.5 miles ⇒ 1 hour 

3 miles ⇒ x 

 

1 × 3 = 3 

6.5x = 3 

x = 3 / 6.5 

x = 0.46 

 

0.46 × 60 = 27.6 

 

Other way of calculating:

Distance = 3 miles 

Speed = 6.5 mph 

 

t = 3 / 6.5 = 0.462 

 

So Mark arrives before 7 o'clock, and he is early by 2.4 minutes.

 

Conclusion 

I hope you find this little problem interesting and fun. And tell me, did you get it correct and are you interested in another problem? 

How do you rate this article?

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Joe Bou Khalil
Joe Bou Khalil

My name is Joe Bou Khalil. I am a freelancer, an entrepreneur, and a finance student. I like to share my expertise with the world.


Math Solves Problems
Math Solves Problems

Explaining math and making calculations new and well-known ones.

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