You may also like

problem icon

14 Divisors

What is the smallest number with exactly 14 divisors?

problem icon

Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

problem icon

Dozens

Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

To Run or Not to Run?

Stage: 3 Short Challenge Level: Challenge Level:1

Let the athlete take x minutes to cycle one mile.

Therefore he takes 3x/2 minutes to run one mile and 3x minutes to walk one mile.

Therefore 3x +3x/2 +x = 3x + 10 i.e. x = 4 The cyclist takes 12 minutes to walk the first mile, 6 minutes to run the second mile and 4 minutes to cycle the third mile, a total time of 22 minutes.

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem