SOLUTION: suzy can run 4m/sec and tim can run 6m/sec. How far ahead of tim must suzy be to not to fall behind tim in the first 10 secondsof running? Use a graph to check ou answer?

Question 150990: suzy can run 4m/sec and tim can run 6m/sec. How far ahead of tim must suzy be to not to fall behind tim in the first 10 secondsof running? Use a graph to check ou answer?
Found 2 solutions by ptaylor, ankor@dixie-net.com:
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let x=distance ahead of Tim that Suzy must be to not to fall behind tim in the first 10 secondsof running
Distance Tim runs in the first 10 seconds=(6m/s)*10 sec=60 meters
Distance Suzy runs in the first 10 seconds plus her head start of x meters equals 4m/s*10 sec + x=40 meters plus x
Now we know that when the above two distances are equal, Tim will have caught up and in the next instance, Suzy will have fallen behind, so our equation to solve is:
60=40+x subtract 40 meters from each side
60-40=x
x=20 meters--------------------distance ahead that Suzy must be so as not to fall behind in the first 10 seconds
MAYBE YOU CAN DO THE GRAPH
CK
20+4*10=60
60=60
Hope this helps---ptaylor
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
suzy can run 4m/sec and tim can run 6m/sec. How far ahead of tim must suzy be to not to fall behind tim in the first 10 seconds of running? Use a graph to check your answer?
:
Let d = distance that T is ahead of S
:
Write a distance equation: Dist = speed * 10 sec
:
S's dist + head-start dist = T's dist
4(10) + d = 6(10)
40 + d = 60
d = 60 - 40
d = 20 m head start
:
"Use a graph to check your answer"
let x = time running
let y = distance ran
;
Suzy: y = 4x + 20; (green)
:
Tim: y = 6x; (purple)
:
y axis = dist, x axis = time

You can see that T (purple) passes S (green) at 10 sec
And when x=0, S has a 20m headstart
RELATED QUESTIONS
If Tim and Terry started to run in opposite directions with the speeds of 90 feet per... (answered by ikleyn)
Tim wants air conditioning in his room. The air conditioner costs $45. Each day the... (answered by stanbon)
Tim can run three miles in 20 minutes. If he maintains his speed, how long will it take... (answered by Zucchini)
Every day Tim drives to work. One Monday morning, with heavy traffic, Tim averaged 30... (answered by midwood_trail,ptaylor,gonzo)
pete stopped, but tim kept running for 11 laps more. by the end of the run-a-thon, pete... (answered by ankor@dixie-net.com)
Sally is 10 years older than Tim. In 8 years, the sum of their ages will be 40.... (answered by lynnlo)
Tim takes 25 minutes to run 3 kilometres. How long does it take him to run 1 kilometre? (answered by JulietG)
Tom can paint a room in 5 hours; if he works with Tim, they can paint together the same... (answered by ankor@dixie-net.com)
Jim and Frank can finish a job in 6 days. Tim and Jim can finish a job in 7.5 days. Tim (answered by richwmiller)