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.

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.

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.