Question

Napoleon Crossing the Alps
Napoleon's route through the Alps
involved travelling through the Grand St
Bernard Pass, a climb of 6km and a
descent of 4km. His army travelled twice
as fast downhill as it did uphill and the
whole journey took 8 hours.
How long did it take him to reach the top?

Answer 1

Answer:

I Deleted the Answer as i felt cheating was bad.

Note: If I am not mistaken, this is part of the Senior Challenge '22 Year 10 or below, which is part of the Mathematical Education Of Merseyside. This competition should be done during the February half term and seeing as I am also in high school and it is currently my February half term, I believe (although i may be very wrong) you are cheating. :)

Answer 2

It took him 2.6 hours to reach the top

Data;

• Uphill = 6km
• Downhill = 4km
• Total time taken = 8 hours

Speed

Let us calculate the speed during uphill and downhill

Since the time it took them to descend is twice the time it took them to ascend,

• Let x represent the time taken to ascend

$x + 2x = 8 hours\\3x = 8\\x = \frac{8}{3} \\x = 2.6 hours$

From the calculation above, it took him 2.6 hours to reach the top.

Learn more on speed here;

https://brainly.com/question/4931057