SOLUTION: It takes a passenger train 2 hours less than it takes a frieght train to travel from Normand to Enid. The passenger train averages 96km per hr, while the frieght train averages 64k

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: It takes a passenger train 2 hours less than it takes a frieght train to travel from Normand to Enid. The passenger train averages 96km per hr, while the frieght train averages 64k      Log On


   

Question 40182: It takes a passenger train 2 hours less than it takes a frieght train to travel from Normand to Enid. The passenger train averages 96km per hr, while the frieght train averages 64km per hour. How far is it from Norman to Enid?
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A student walks and jogs to school every day. The student averages 5km/hr walking & 9km/hr jogging. The distance from the home to school is 6km and the total trip takes 1hr. How far does the student walk?
Take your answers to two decimal places.
______kilometers
Thanx
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
1.
Let x be the distance.
EQUATION:
x%2F64%2Bx%2F96=2
6144%28x%2F64%29%2B6144%28x%2F96%29=6144%282%29
96x+64x=12288
x=76.8
Hence, its is at a distance of 76.8km.

2.Let x be the time for Jogging
Let y be the time for walking.
Equation1 :
x+y=1
y=1-x (subsitution)
EQuation 2;
5y+9x=6
Subsittufe:
5(1-x)+9x=6
4x=1
x=0.25
1-0.25=0.75
0.75(5)=3.75
Hence, he walks at a distance of 3.75km.
Paul.