University of Glasgow Mathematics Challenge 2012

In a competition of 1428 entrants, the following pupils achieved an award at the year’s Primary Maths Challenge.

Cami was awarded a silver certificate and Reagan and Nadia achieved a bronze certificate.    The competition requires the students to solve three sets of problems and challenges over the year. Well done to the other pupils who also took part in this.  We hope to enter this competition again next year.

Have a go at one of the problems and post your answer. Good luck!

A water tank can be filled by any combination of three different taps.  With the smallest tap the tank can be filled in 20 minutes.  With the middle tap the tank can be filled in 12 minutes. With the largest tap the tank can be filled in 5 minutes.  How long does it take to fill the tank with all three taps running.  Explain your reasoning.