# Math Challenge

Go here.

Check out the eight questions here.

Take the test and come back and read below the fold.

Question number five is the toughest :

I walk from home to school in 30 minutes and my brother takes 40 minutes. My brother left 5 minutes before I did. In how many minutes will I overtake him?

The challenge :

Generalize this problem for the variables FASTTIME (30 minutes), SLOWTIME (40 minutes) and HEADSTART (5 minutes), and ANSWER ( see quiz).

Produce a mental procedure so that given the three variables, the ANSWER can be mentally calculated in less than 5 seconds. ( Assuming that the numbers themselves are reasonable and easy to deal with)

To test your procedure use these variables :

FASTTIME = 20 minutes

SLOWTIME = 25 minutes

HEADSTART = 3 minutes

What is the overtake time?