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Question 885923: A tight end can run the 100 yard dash in 20 seconds
A defensive back can do it in 15 seconds
The tight end catches a pass at his own 20 yard line with the defensive back at the 15 yard line.
If no other players are nearby, at what yard line will the defensive back catch up to the tight end?
[hint: At time t=0, the defensive back is 5 yards behind the tight end.]
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A tight end can run the 100 yard dash in 20 seconds
A defensive back can do it in 15 seconds
The tight end catches a pass at his own 20 yard line with the defensive back at the 15 yard line.
If no other players are nearby, at what yard line will the defensive back catch up to the tight end?
[hint: At time t=0, the defensive back is 5 yards behind the tight end.]
:
Find the speeds in yd/sec
100/20 = 5 yd/sec
100/15 = 6.67 yd/sec
:
Write a distance equation; dist = speed * time
:
When the back tackles the t.e, the back will travel 5 yds more than t.E
6.67t = 5t + 5
6.67t - 5t = 5
1.67t = 5
t = 5/1.67
t = 3 sec
Find how many yds the back travels in 3 sec
3 * 6.67 = 20 yds
therefore
15 + 20 = 35 yd line, the back tackles the t.e
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