23 Jun '05 23:28

Long time ago I came up with a puzzle which I could never solve somehow. Now I remembered it again, so maybe someone here knows how to do it? I think I'll give it another try too...

On a racing track (6.9 km length) three vehicles run with constant speed. Michael Schumachers Ferrari runs with constant 290 km/h, a Ford KA runs with 130 km/h and I ride with my Moped with 70 km/h.

We all start with our constant speed (no acceleration or so) at the start/finish line at 0:00 h (midnight) of Day 1.

a) When (time and lap) will we all be at the same point (how many km from start/finish line?) somewhere on the track again?

b) When (time and lap) will we all be at the start/finish line at the same time again?

On a racing track (6.9 km length) three vehicles run with constant speed. Michael Schumachers Ferrari runs with constant 290 km/h, a Ford KA runs with 130 km/h and I ride with my Moped with 70 km/h.

We all start with our constant speed (no acceleration or so) at the start/finish line at 0:00 h (midnight) of Day 1.

a) When (time and lap) will we all be at the same point (how many km from start/finish line?) somewhere on the track again?

b) When (time and lap) will we all be at the start/finish line at the same time again?