SOLUTION: Please help me solve this problem?
"Bob cycles along a road
He cycles 60km at an average speed of xkm/h
He then cycles a further 45km at an average speed of (x+4)km/h
His t
Algebra.Com
Question 920429: Please help me solve this problem?
"Bob cycles along a road
He cycles 60km at an average speed of xkm/h
He then cycles a further 45km at an average speed of (x+4)km/h
His total cycling time was 6h"
"Form an expression in terms of x and show that it simplifies to "
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
|Multiplying thru by x(x+4) so as all denominators = 1
60(x+4) + 45x = 6x(x+4)
60x + 240 + 45x = 6x^2 + 24x
6x^2 - 81x - 240 = 0
2x^2 + 27 - 80 = 0
.......
..........
x = -16, x = 10/4 = 5/2 = 2.5
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=6
r*t=d
t=d/r
a=60/x
b=45/(x+4)
60/x+45/(x+4)=6
(15(7x+16))/(x(x+4)) = 6
(2x+5)(x-16)=0
2x^2 -27x -80
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