SOLUTION: Jake gave Patti a 5-yard head start in a 100-yard dash and Jake lost by only 1/4 yard. In how many more yards, beyond 100 yards, would Jake have overtaken Patti?

Question 254824: Jake gave Patti a 5-yard head start in a 100-yard dash and Jake lost by only 1/4
yard. In how many more yards, beyond 100 yards, would Jake have overtaken
Patti?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jake gave Patti a 5-yard head start in a 100-yard dash and Jake lost by only 1/4
yard.
In how many more yards, beyond 100 yards, would Jake have overtaken
Patti?
:
When P's at the 100 yd marker, P has ran 95 yds in the same time interval as J ran 99.75 yds
Use this to establish the speed of each runner
:
Let d = distance beyond the 100 yd marker where J overtakes P
:
Write a time equation Time = dist/speed
=
cross multiply
99.75d = 95(d+.25)
:
99.75d = 95d + 23.75
:
99.75d - 95d = 23.75
:
4.75d = 23.75
d =
d = 5 yds past the 100 yd maker, J catches P
:
:
Confirm this by finding the times
5/95 = .0526
5.25/99.75 = .0526; J ran 5 yds in the same time P ran 5 yds
RELATED QUESTIONS
how many feet are in a 100 yard... (answered by nerdybill)

Red and Budd decide to race, with Redd giving Budd a 100-yard head start. Redd runs at 8... (answered by ankor@dixie-net.com)

How close are a meter and a yard? Convert 1 m into yards by using The fact that there... (answered by fractalier)

In a 100-yard race, athletes A, B, and C each run at a uniform pace throughout. If A... (answered by ikleyn)

Player A can run the 40 yard dash in 4 seconds. Player B can run the 40 yard dash in 5... (answered by ankor@dixie-net.com)

A tight end can run the 100 yard dash in 20 seconds A defensive back can do it in 15... (answered by ankor@dixie-net.com)

Football Word Problem A tight end can run the 100-yard dash in 12 seconds. A... (answered by ikleyn)

A tight end can run the 100-yard dash in 12 seconds. A defensive back can do it in 10... (answered by ikleyn,MathTherapy,greenestamps,math_tutor2020)

How many yards of material from a 24 yard length of cloth remain after 3 pieces each of 3 (answered by edjones)