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Question 588608: A motorist, X, travelling at a uniform speed of 48 km/h passes a village at 6 a.m.. Another motorist, Y , travellingat a uniform speed of 66 km/h passes the same village at 6.30 a.m. Draw straight line graphs to show the journeys of X and Y between 6.30 a.m. and 9 a.m. , taking 4 cm to represent 1 hour on the time axis and 2 cm to represent 20 km on the the distance axis. Deduce from your graph the time at which both motrists are at the same distance from the village.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A motorist, X, traveling at a uniform speed of 48 km/h passes a village at 6 a.m..
Another motorist, Y , traveling at a uniform speed of 66 km/h passes the same village at 6.30 a.m.
Draw straight line graphs to show the journeys of X and Y between 6.30 a.m. and 9 a.m. , taking 4 cm to represent 1 hour on the time axis and 2 cm to represent 20 km on the the distance axis.
Deduce from your graph the time at which both motorists are at the same distance from the village.
:
Write a linear equation for each motorist
dist from village, on the vertical axis
time (from 6:30) on the horizontal
origin, 0 represent 6:30 am, and at the village
;
Motorist x (travels 1/2 hr longer than y):
d = 48(t+.5); red graph
:
Motorist y:
d = 66t; green graph
:
On graph
:
In 1 hrs, at about 85 miles they intersect, same distance from village
6:30 + 1:20 = 7:50 AM would be the time
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