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
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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