One kilometer race

In a 1 km race, student A beats student B by 48 meters or 12 seconds. Find the time taken by student A in this race.

Correct answer:

t1 =  238 s

Step-by-step explanation:

s=1 km m=1 1000  m=1000 m x=48 m Δt=12 s  s = v1 t1 s = v2 t2 s = v2 t1 + x t2 = t1 + Δt  s = v1 t1 s = v2 (t1+Δt) s = v2 t1 + x  s = v2 t1+v2 Δt  s = (sx)+v2 Δt  v2=Δtx=1248=4 m/s  t1=v2sx=4100048=238 s   Verifying Solution:   v1=t1s=2381000=1195004.2017 m/s  t2=t1+Δt=238+12=250 s



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