SOLUTION: please help me solve this questions,, 1) A main natural gas pipeline feeds into three smaller pipelines, each of which is 2.6 km longer than the main pipeline. If the total leng

Question 506190: please help me solve this questions,,
1) A main natural gas pipeline feeds into three smaller pipelines, each of which is 2.6 km longer than the main pipeline. If the total length of the four pipelines is 35.4 km, what is the length of each section of the line?

2) A ski lift takes a skier up a slope at 50m/min. The skier skis down the slope at 150m/min. If one round trip takes 24 minutes, how long is the slope?
Answer by Sarah900(12) (Show Source): You can put this solution on YOUR website!
1) We are going to call the unknown length of the pipe x so
Main Pipeline length= x
Length of 1 of the smaller pipelines = x+2.6
Total length= x+3(x+2.6)= 35.4
distribute and solve for x
x+3x+7.8=35.4
4x+7.8=35.4
4x=27.6
x=6.9
The main pipeline's length is 6.9.
The length of the smaller pipes is x+2.6 so
6.9+2.6=9.5

2) distance=speed*time
distance up the slope= speed(up)*time(up)
distance down the slope= speed(down)*time(down)
Because it is the same slope distance(up)=distance(down)
speed(up)*time(up)=speed(down)*time(down)
We are going to call the time it takes to go up the slope x so
Time (up)= x
Time (down)= 24-x
Plug in what we know and you have
50x=150(24-x)
Now distribute and solve
50x=3600-150x
200x=3600
x=18
Plug it into our original d=s*t and you get
d=50*18
d=900
RELATED QUESTIONS
One of the longest crude oil pipelines in the world is the one from Edmonton, Alberta, to (answered by Alan3354)

please help me solve this: theresa has 16kg of dog food. each day she feeds her dogs 2/3... (answered by robertb,MathTherapy)

I am having trouble with a work/rate word problem. Once my "table" is set up, I think I... (answered by drk,stanbon)

This is my problem. It takes two oil pipelines 30 minutes to fill a tank. One pipeline (answered by checkley77,Earlsdon)

In a natural gas pipeline, the velocity v (in m/s) of the gas as a function of the... (answered by amarjeeth123)

Please help me solve this problem. Into a box are put ten smaller boxes. Each of... (answered by josmiceli)

Please help me solve this question If n+20 & n+21 are both perfect square of Natural... (answered by addingup,ikleyn)

Can you please help me with the following 2 questions. Thanks 1. A = P + PRT... (answered by carl)

Two oil pipelines can fill a tank in 30 minutes.Using one of the pipelines would require... (answered by josmiceli,scott8148)