SOLUTION: A train travels 360km at a uniform speed. If the speed had been 5km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train
Algebra.Com
Question 370628: A train travels 360km at a uniform speed. If the speed had been 5km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
distance = 360 km
..
let speed be x
then time taken = d/r
t=360/x
..
if speed is increased by 5 km/h
speed will be (x+5)km/h
..
distance is the same
t= 360/(x+5)
..
time with original speed - time with increased speed = 1
..
360/x - 360/(x+5)=1
LCD= x(x+5)
(360(x+5)-360x) /x(x+5)=1
360x+1800-360x=x(x+5)
x^2+5x = 1800
x^2+5x-1800=0
x^2+45x-40x-1800=0
x(x+45)-40(x+45)=0
(x-40)(x+45)=0
x= 40 mph the original speed.
...
m.ananth@hotmail.ca
RELATED QUESTIONS
A train travels 300km at a constant speed. If the speed had been 5km/h faster, the... (answered by josgarithmetic,ikleyn)
A train travels 300km at a constant speed of Vkm/h. If the train had travelled 5km/h... (answered by stanbon,lwsshak3)
The Metro Rail travels 240 km at a uniform rate.If the speed had been 8 km per hour... (answered by josmiceli)
Hi! I have a problem that my professor wants me to solve by completing the square. The... (answered by ikleyn,greenestamps,josgarithmetic)
a train travels a distance of 480 km at a uniform speed.if the speed had been 8 km/h... (answered by ptaylor)
a car travel 300km at uniform rate.if the speed of the car had been 5km/h more, the... (answered by josmiceli)
A train travelled from Town A to Town B at a uniform speed. If the speed had been... (answered by pbdesai,ptaylor)
An automobile traveled 360km. If it’s average speed had been 2kph more, the trip would... (answered by josgarithmetic,Alan3354)
A train runs in uniform speed and cover 360Km. If speed reduce by 8Km/hour, than it will... (answered by mananth)