The Bionic Woman gives Batman a 12 second
start in a 2 kilometre race. If the Bionic Woman
runs at 5 km/min, and Batman runs at 3 km/
min, who will win the race and by how many
seconds?​

Respuesta :

Answer:

          The Bionic Woman will win the race by 4 s

Step-by-step explanation:

[tex]v=\dfrac st\quad\implies\quad t=\dfrac sv[/tex]

s = 2 km

t - time of run

v - speed of running

Batman:

v = 3km/min

[tex]t = \dfrac{2\,min}{3\,\frac{km}{min}}=2\,km\cdot\dfrac{min}{3\,km}=\dfrac23\,min = \dfrac23\cdot 60\,s=40\, s[/tex]

The Bionic Woman:

v = 5 km/min

[tex]t = \dfrac{2\,min}{5\,\frac{km}{min}}=2\,km\cdot\dfrac{min}{5\,km}=\dfrac25\,min = \dfrac25\cdot 60\,s=24\, s[/tex]

time from Batman's start: 24 s + 12 s = 36 s

40 - 36 = 4