# Blue Poster, Question 2

### Answer

This is a nasty trick – it is impossible to arrive on time.

If you are clever and you know that velocity = distance/time you can do the calculations and with a little bit of algebra, you will get the answer of infinity.

If you are really clever though, you wouldn’t bother with this because you would have spotted that your allotted time was used up at the halfway point.

If you drive at half the speed you will only get half as far in the allotted time, therefore your time is used up at the halfway point.

Another way of approaching it is to use some real values. Say you need to drive at 60 km/h for one hour to arrive on time. That means it is a distance of 60 km. If you only manage to do half the speed (30km/h), for half the journey. That would be 30km you would have travelled. At 30km/h that would take you 1 hour. But that was your allotted time, so you couldn’t make it at any speed.