SOLUTION: On a ground trip of 540 km in each direction, Mr. Armstrong averaged 9 km/h more returning than he did going. If the return trip took 2 hours less than the trip going, find the tim

Question 939011: On a ground trip of 540 km in each direction, Mr. Armstrong averaged 9 km/h more returning than he did going. If the return trip took 2 hours less than the trip going, find the time for each direction.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
on hisway there speed x
on his return speed x + 9

Distance = same 540 km 1
original time � time with increased speed = 2 hour
t=d/t

540 / x - 540 / ( x + 9 ) = 2.00
LCD= x ( x + 9 )
multiply by LCD
540 ( x + 9 ) - 540 x = 2 x (
540 x + 4860 - 540 x = 2 X^2 + 18 x
4860 = 2 X^2 + 18 x
2 X^2 + 18 x- -4860 = 0
/2
x^2+9x-2430=0
x^2+54x-45x-2430=0
x(x+54)-45(x+54)=0
(x-45)(x+54)=0
x=45 OR -54
ignore negative
speed = 45 km/h
&
54 km/h
RELATED QUESTIONS
On a round trip of 700km in each direction,Mr.anderson averaged 7km/h more returning than (answered by ankor@dixie-net.com)

On a round trip of 350 miles in each direction, Joseph averaged 10mph more returning... (answered by Mathtut)

A hydrofoil made a round-trip of 144 km in 4 hours. because of headwinds the average... (answered by TimothyLamb)

A man drove 360 km at a certain speed. The return trip was made at a speed of 9 km per... (answered by richwmiller)

Madeline made a certain trip by moped in 2 hours. It took her 2.5 hours to make the... (answered by josgarithmetic)

Madeline made a certain trip by moped in 2 hours. It took her 2.5 hours to make the... (answered by jim_thompson5910)

A man drives 500 km. to a business convention on the return trip he increases his speed... (answered by edjones)

a plane averaged 1000 km/h on the first half of the round trip, but the heavy winds... (answered by Alan3354)

solve. Round to the nearest tenth if necessary Mr. Johns drives a semitrailer. On one... (answered by stanbon)