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Annie leaves Santo Tomas for
Baguio averaging 60 kph in
her car. One hour later, JM
leaves for Baguio following
the same route and travelling
at an average speed of
80kph. How long would it take
the JM to overtake Annie?


Sagot :

Answer: it take 3hours.

Step-by-step explanation:

To determine how long it will take JM to overtake Annie, we can use the concept of relative speed.

1. **Define the variables:**

- Annie's speed: 60 km/h

- JM's speed: 80 km/h

- Time difference: 1 hour (Annie leaves 1 hour before JM)

2. **Calculate the distance Annie travels in 1 hour:**

- Distance = Speed × Time

- Distance = 60 km/h × 1 hour = 60 km

3. **Calculate the relative speed between JM and Annie:**

- Relative speed = JM's speed - Annie's speed

- Relative speed = 80 km/h - 60 km/h = 20 km/h

4. **Determine the time it takes for JM to catch up:**

- Time = Distance / Relative speed

- Time = 60 km / 20 km/h = 3 hours

So, it will take JM 3 hours to overtake Annie.