Answer:
Bionic Woman wins by 4 seconds.
Step-by-step explanation:
Given:
Speed of Batman = 3 km/min
Speed of Bionic woman = 5 km/min
Total distance = 2 km
Start given to Batman = 12 seconds
To find:
Winner of the race and by how many seconds?
Solution:
Start given to Batman = 12 second start
Let us find the Distance traveled by Batman in 12 second.
12 seconds = [tex]\frac{1}{5}[/tex] minutes
[tex]Distance = Speed \times Time[/tex]
[tex]Distance = 3 \times \frac{1}{5} = 0.6\ km[/tex]
Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km
Time taken by Batman = [tex]\frac{1.4}{3} \times 60[/tex] seconds = 28 seconds
Distance for Bionic woman to be traveled = 2 km with 5 km/min
Time taken by Bionic Woman = [tex]\frac{2}{5}[/tex] minutes = 24 seconds
Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.
She will win by 28-24 = 4 seconds
So, answer is:
Bionic Woman wins by 4 seconds.
