SOLUTION: The receiver in a football game catches a pass 45 yards from the end zone. He runs 12 yards per second toward the end zone. The defender is 10 yards behind the receiver. He run

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Question 510665: The receiver in a football game catches a pass 45 yards from the end zone. He runs 12 yards per second
toward the end zone. The defender is 10 yards behind the receiver. He runs 14 yards per second toward the end zone. Will the defender catch the receiver before he reaches the end zone? If not, by how much time will the receiver beat him?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The receiver in a football game catches a pass 45 yards from the end zone.
He runs 12 yards per second toward the end zone.
The defender is 10 yards behind the receiver.
He runs 14 yards per second toward the end zone.
If not, by how much time will the receiver beat him?:
:
Find the time it takes the receiver to cover 45 yds (time = dist/speed)
45%2F12 = 3.75 sec
Find the time it takes the defender to cover 55 yds
55%2F14 ~ 3.9 sec
:
Receiver will reach the goal line: 3.9 - 3.75 = .15 sec before the defender