Respuesta :
Answer:
Ana wins by about 2.5 minutes.
Step-by-step explanation:
Bea:
10,000-600=9,400
9,400/200= 47minutes to finish
Ana:
10,000/225=44.44minutes to finish
Answer:
A). Ana will win the race.
B). Ana will catch up Bea after 24 minutes.
Step-by-step explanation:
A). Length of the last part of the race = 10000 meters
Bea runs with the speed = 220 meters per minute
Since Bea is 600 meters ahead of Ana then distance to cover by Bea = 10000 - 600 = 9400 meters
Now times taken by Bea to cover the remaining distance = [tex]\frac{\text{Distance}}{\text{Speed}}[/tex]
= [tex]\frac{9400}{200}[/tex]
= 47 minutes
Ana has to cover the distance = 10000 meters
Speed of Ana = 225 meters per minute
Time to cover this distance = [tex]\frac{10000}{225}[/tex]
= 44.44 minutes
Therefore, Ana will win the race.
B). Relative speed of Ana = 225 - 200 = 25 meters per second
To cover the distance between Ana and Bea = 600 meters
Time taken to cover 600 meters with the relative speed of anna
= [tex]\frac{600}{25}[/tex]
= 24 minutes
Therefore, after 24 minutes Ana will catch up with Bea.
