Calculate Ana's Time to Catch Carla in Athletics Competition
Question:
If Carla's speed is 20% less than Ana's speed, and Carla has a head start of 5 seconds in a running competition, how long will it take for Ana to catch up to Carla in meters?
Answer:
We can see here that the correct answer is: D) 30 - 240.
Explanation:
To solve this problem, we first need to calculate Carla's speed and then determine how long it will take for Ana to catch up to her.
Calculating Carla's Speed:Carla's speed is calculated as distance divided by time. For Carla:
Speed of Carla = Distance / Time
Speed of Carla = 300 m / 25 s
Speed of Carla = 12 m/s
Now we know that Carla's speed is 12 meters per second.
Calculating Ana's Time:Since Ana has a head start of 5 seconds, her time will be Carla's time plus 5 seconds:
Time of Ana = Time of Carla + 5 s
Time of Ana = 25 s + 5 s
Time of Ana = 30 seconds
Now, we need to determine the distance Ana will cover in 30 seconds to catch up to Carla. Given that Ana's speed is 20% greater than Carla's, we can calculate her speed:
Speed of Ana = 1.20 x Speed of Carla
Speed of Ana = 1.20 x 12 m/s
Speed of Ana = 14.4 m/s
Using the distance formula, we can calculate the distance Ana will cover in 30 seconds:
Distance = Speed x Time
Distance = 14.4 m/s x 30 s
Distance = 432 meters
Therefore, Ana will cover 432 meters in 30 seconds to catch up to Carla.