Respuesta :
Answer:
Speed of first skier = 5 km/h
Speed of second skier = 10 km/h
Step-by-step explanation:
Given:
Distance between skiers = 30 km
Time after which they meet = 2 hours
Second skier is 5 km/h faster than the first skier.
To find speed of each skier.
Solution:
Let the speed of first skier be in km/h =[tex]x[/tex]
Distance covered in km 2 hours will be = [tex]Speed\times time=x\times 2=2x\ km[/tex]
Speed of second skier in km/h can be given as = [tex]x+5[/tex]
Distance traveled by second skier after 2 hours will be = [tex]Speed\times time=(x+5)\times 2=(2x+10)\ km[/tex] [Using distribution]
Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km
Thus, we have:
[tex]2x+2x+10=30[/tex]
Solving for [tex]x[/tex]
[tex]4x+10=30[/tex]
Subtracting both sides by 10.
[tex]4x+10-10=30-10[/tex]
[tex]4x=20[/tex]
Dividing both sides by 4.
[tex]\frac{4x}{4}=\frac{20}{4}[/tex]
[tex]x=5[/tex]
Speed of first skier = 5 km/h
Speed of second skier = [tex]5+5[/tex] = 10 km/h
