On the Road
Four vehicles travelled on a road with constant velocities.
The car and the scooter were travelling in one direction whilst the bike and the motorcycle travelled in the opposite direction.
The car overtook the scooter at 12:00, then met the bike at 14.00 and the motorcycle at 16.00.
The motorcycle met the scooter at 17.00 then it overtook the bike at 18.00.
At what time did the bike and the scooter meet?
You may also like
Pentagonal
Can you prove that the sum of the distances of any point inside a square from its sides is always equal (half the perimeter)? Can you prove it to be true for a rectangle or a hexagon?
A Scale for the Solar System
The Earth is further from the Sun than Venus, but how much further? Twice as far? Ten times?
Swimmers
Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. How long is the pool ?