SOLUTION: The distance between two station is 192 k.m..How much time a train take to pass the stations the another train takes two hours more than the first.If the average speed of the secon
Algebra.Com
Question 693284: The distance between two station is 192 k.m..How much time a train take to pass the stations the another train takes two hours more than the first.If the average speed of the second train is 16 k.m less than the first,then find out the average speed of both the trains ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The distance between two stations is 192 k.m.
:
let s = speed of the 1st train
How much time does a train take to pass the stations?
= hrs
:
The another train takes two hours more than the first.
If the average speed of the second train is 16 k.m less than the first,
then find out the average speed of both the trains ?
:
Write a time equation, time = dist/speed
2nd train time - 1st train time = 2 hr
- = 2
multiply by s(s-16) to clear the denominators, resulting in:
192s - 192(s-16) = 2s(s-16)
:
192s - 192s + 3072 = 2s^2 - 32s
Arrange as a quadratic equation
0 = 2s^2 - 32s - 3072
Simplify, divide by 2
s^2 - 16s - 1536 = 0
you can us the quadratic formula here, but this will factor to:
(s-48)(s+32) = 0
The positive solution is what we want here
s = 48 km/h, the speed of the faster train
you can find the speed of the slower
RELATED QUESTIONS
1. If the average speed of a train between two stations is 30 miles per hour and the two... (answered by macston)
A train takes 7 hours to travel from Station A to Station B. If its speed is increased by (answered by mananth)
a train takes 7 hours to travel from station A to station B. if its speed is increased by (answered by Cromlix)
A train travels the distance between the station A and B in 45 minutes. if the train... (answered by josgarithmetic,ikleyn,MathTherapy)
It is a simultaneous and liner equation word problem:
A train takes 7hrs to travel from... (answered by rothauserc)
A train travels from station A to station B. The distance between the two stations is... (answered by ankor@dixie-net.com)
How much time does a train 50m long moving at 65 km/hr take to pass another train 75 m... (answered by lwsshak3)
The distance between train station A and train station B is 180 kilometers. Train station (answered by stanbon)
A train takes 2 hours to reach station b from station a, and then 3 hours to return from... (answered by ankor@dixie-net.com)