document.write( "Question 506571: A bus leaves town P for another town Q at time 1300 and travels at 60 km/h. A car traveling at 80 km/h leaves P by the same route an hour later. Using a horizontal scale of 2 cm for 1 hour and a vertical scale of 2 cm for 100 km, draw the distance-time graphs and find, graphically, when the car overtakes the bus.
\n" ); document.write( "If the bus arrives at Q half an hour later than the car, find, graphically or otherwise, the distance from P to Q.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*Please explain how do I draw the graph, since distances are not given and please answer as soon as possible :) =) \n" ); document.write( "
Algebra.Com's Answer #340223 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A bus leaves town P for another town Q at time 1300 and travels at 60 km/h.
\n" ); document.write( " A car traveling at 80 km/h leaves P by the same route an hour later.
\n" ); document.write( " Using a horizontal scale of 2 cm for 1 hour and a vertical scale of 2 cm for 100 km, draw the distance-time graphs and find, graphically, when the car overtakes the bus.
\n" ); document.write( ":
\n" ); document.write( "Write a slope intercept equation for the bus and the car
\n" ); document.write( "x = time, y = dist
\n" ); document.write( "y = 60x; bus equation (Red)
\n" ); document.write( "and
\n" ); document.write( "y = 80(x-1); (Green)
\n" ); document.write( ":
\n" ); document.write( "Plot a graph with these two equations, find y when x=2, x=6 for both equations
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-4%2C+10%2C+-100%2C+500%2C+60x%2C+80%28x-1%29%29+\"
\n" ); document.write( "note the point of intersection, x=4 hrs, y=240 km, the car overtakes the bus
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "If the bus arrives at Q half an hour later than the car, find, graphically or otherwise, the distance from P to Q.
\n" ); document.write( ":
\n" ); document.write( "Let's use \"otherwise\", write a time equation, time = dist/speed
\n" ); document.write( "let d = dist from intersect to Q (240 km from P)
\n" ); document.write( ":
\n" ); document.write( "Bus time - Car time = .5 (half hour)
\n" ); document.write( "\"d%2F60\" - \"d%2F80\" = .5
\n" ); document.write( "multiply by 240, results
\n" ); document.write( "4d - 3d = 240(.5)
\n" ); document.write( "d = 120 km from the point of intersection which is 240 km from P, therefore
\n" ); document.write( "120 + 240 = 360 km from P to Q
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "We can confirm this, the travel time of the Bus was 1.5 hrs longer than the Car
\n" ); document.write( "(Car started 1 hr later and arrived half hour sooner), find the times
\n" ); document.write( "360/60 = 6 hr, bus time
\n" ); document.write( "360/80 = 4.5 hr, car time\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );