Question

At 5 a.m Napoleon headed south from Waterloo at 6 kilometers per hour at 7 a.m Wellington headed south from Waterloo. If Wellington passed Napoleon and was 20 kilometers ahead of Napoleon at 2 p.m how fast was Wellington traveling

Answer 1

It is said that Napoleon started at 5am from Waterloo at 6km/hr

Wellington started at 7am from Waterloo.

It is also known that Wellington is 20km ahead of Napoleon at 2pm.

Here the speed of both ships is constant.

The time between 5am to 2pm is 9 hours so the distance travelled by Napoleon is given by:

So Napoleon covered a distance of 54 kilometers at 2pm.

Distance covered by Wellington is 20km more than Napoleon and his time is 2 hour less so it follows:

So Wellington covered 74 kilometers in 7 hours. His speed is given by:

So Wellington was travelling at the speed of 10.5714 kilometers per hour.