One skier covered the distance of 20km in 20 min faster than the other skier. Find the speed of both skiers if one of them is travelling at 2km/hour faster than the other one.

Question

anonymous · Answer

@jim_thompson5910  @Mertsj  PLEASE HELP ME

jim_thompson5910 · Answer

let

x = speed of slower skier
y = speed of faster skier

jim_thompson5910 · Answer

"one of them is travelling at 2km/hour faster than the other one.", so by this statement and our variable definitions, we can say

y = x+2

jim_thompson5910 · Answer

now use d = rt to set up a distance/rate/time equation for the slower skier

d = rt

20 = x*t

solve for t to get t = 20/x

and do the same for the faster skier

d = rt

20 = y*(t-20)

20 = y*(20/x-20) ... plug in t = 20/x

20 = (x+2)*(20/x-20) ... plug in y = x+2

now solve for x