i need help asap

Question

Alex, Cameron and Sam are all taking part in a 400 m race.

They are each running at a different constant speed.

Alex is running 12% faster than Cameron, whilst Sam is running 2% slower than Cameron.

When Alex crosses the finish line, how many metres is Sam from the finish line?

Answer 1

A= C + 12%C = 1.12C

S=.C -2%C = .98C

A,C and S are the speeds of Alex, Cameron and Sam

400 meter race

how far is Sam from the finish line when Alex crosses the finish line?

distance = speed times time

400 = AT where T=Alex' finish time

400=1.12T

400=CU where U = Cameron's finish time

400=SV where V = Sam's finish time

T<U<V

Let U = 20 seconds, C= 20 meters per second

T = 17.86 seconds, A = 22.4 meters per second

V = 20.4 seconds, S = 19.6 meters per second

Alex' finish time is less than Cameron's finish time is less than Sam's finish time

if Cameron runs at 20 meters per second, finishing in 20 seconds

then Sam is about 49 meters from the finish line when Alex finishes

Alex finishes in 17.86 seconds, in 17.86 seconds Sam runs about 350 meters

17.86 x 19.6 = about 350 meters when Alex runs 400

but that's a little fast. maybe record times

if Cameron runs at 10 meters per second, finishing in 40 seconds

Alex runs at 11.2 meters per seconds, finishing in 35.7 seconds

Sam runs at 9.8 meters per second, completing 9.8(35.7)= 350 meters, 50 meters from the finish line when Alex crosses the finish line