Asked by Anish Panda

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

Answers

Answered by Reiny
speed of slower --- x km/h
speed of faster ---- x+2 km/h

20/x - 20/(x+2) = 20/60 = 1/3
times 3x(x+2) , the LCD

60(x+2) - 60x = x(x+2)
x^2 + 2x - 120 = 0
(x+12)(x-10) = 0
x = 10 or x = -12, the ladder is silly

The slower one went 10 km/h, and the faster went 12 km/h

check:
20/10 - 20/12
= 1/3 hr or 20 minutes.
My answer is correct

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