SOLUTION: Please help me find the equation to help me solve the following word problem: Mr. Fox and Mr. Ox are running to the other endof the football field. It takes Mr. Ox 2 seconds to

Click here to see ALL problems on Equations

Question 678881: Please help me find the equation to help me solve the following word problem:
Mr. Fox and Mr. Ox are running to the other endof the football field. It takes Mr. Ox 2 seconds to run 10 yards ad Mr. Fox 5 second to run 10 yards. Mr. Fox had a 20 yard head start. How long does it take Mr. Ox to catch Mr. Fox?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Mr. Fox and Mr. Ox are running to the other end of the football field.
It takes Mr. Ox 2 seconds to run 10 yards
ad Mr. Fox 5 second to run 10 yards.
Mr. Fox had a 20 yard head start.
How long does it take Mr. Ox to catch Mr. Fox?
:
Find O's speed: 10/2 = 5 yds/sec
Find F's speed: 10/5 = 2 yds/sec
:
Let t = time for O to catch F (in seconds)
:
Write a distance equation; dist = speed * time
:
O's dist = F's dist + 20 yds
5t = 2t + 20
5t - 2t = 20
3t = 20
t = 20/3 sec, about 6.67 seconds
:
Check this, how many yards each ran
6.67 * 5 = 33.3 yds; O's run
6.67 * 2 = 13.3 yds: F's run
------------------------
difference: 20 yds
: