SOLUTION: In a 75 m race if ace gives flash a 15 m head start, ace and flash will tie. If flash gives speedy a 15 m head start, flash and speedy will tie. At these rates how many meters head

Question 544056: In a 75 m race if ace gives flash a 15 m head start, ace and flash will tie. If flash gives speedy a 15 m head start, flash and speedy will tie. At these rates how many meters head start should ace give speedy for ace and speedy to tie in a 75 m race?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In a 75 m race if ace gives flash a 15 m head start, ace and flash will tie.
If flash gives speedy a 15 m head start, flash and speedy will tie.
At these rates how many meters head start should ace give speedy for ace and speedy to tie in a 75 m race?
:
Let's assign a speed to Ace, 10 m/sec, then find Flashe's speed
:
Write a time equation, time = dist/speed, let f = Flashe's speed
a's time = f's time
=
Cross multiply
75f = 10*60
f =
f = 8 m/sec is Flashes speed
:
Do the same with Flash and speedy
f's time = s's time
=
75s = 8*60
s =
s = 6.4 m/sec is Speedy's speed
:
Write a time equation for Ace and Speedy
let d = distance covered by speedy while Ace covers 75 m
=
10d = 75*6.4
10d = 480
d = 48 meters
therefore
Ace should give Speedy 75-48 = 27 m head start for them to finish at the same time
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