SOLUTION: Can you please help me solve this word problem using two variables. I have tried but i only know how to use one variable, not two. A car and bike set out at noon from the same

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Can you please help me solve this word problem using two variables. I have tried but i only know how to use one variable, not two. A car and bike set out at noon from the same       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 847065: Can you please help me solve this word problem using two variables. I have tried but i only know how to use one variable, not two.
A car and bike set out at noon from the same point and head in the same direction. At 1:00 P.M, the car is 60 km ahead of the bike. Find how fast each travels, given that the car travels four times as fast as the bike

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
here's a solution with 2 variables:
Let +s+ = he speed of the bike
+4s+ = the speed of the car
------------------------------
Let +d+ = the distance in km the bike travels in 1 hour
+d+%2B+60+ = the distance the car travels in 1 hour
------------------------------
Equation for the bike:
(1) +d+=+s%2A1+
Equation for the car:
(2) +d+%2B+60+=+4s%2A1+
--------------------
Substitute (1) into (2)
(2) +s+%2B+60+=+4s%2A1+
(2) +3s+=+60+
(2) +s+=+20+
and
+4s+=+80+
The bike travels 20 km/hr
The car travels 80 km/hr
------------------------
check:
(1) +d+=+s%2A1+
(1) +d+=+20+ km
and
(2) +d+%2B+60+=+4s%2A1+
(2) +d+%2B+60+=+4%2A20%2A1+
(2) +d+=+80+-+60+
(2) +d+=+20+ km
OK
Note that you can say +y+=+d+
and +x+=+s+ in order to plot
on x-y plane