A bus covers a distance in 25 minutes, if it runs at a speed of 24 km/hr on an average. Find the speed at which the bus must run to reduce the time of journey to 20 minutes.a)25 km/hrb)30 km/hrc)35 km/hrd)40 km/hrCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

**Given Information:**
- Distance covered by the bus in 25 minutes = D
- Speed of the bus = 24 km/hr
- Time taken by the bus to cover the distance = 25 minutes

**To Find:**
- Speed at which the bus must run to reduce the time of journey to 20 minutes

**Solution:**
1. We know that speed is defined as the distance traveled per unit time. Mathematically, speed (S) can be calculated using the formula: S = D/T, where D is the distance traveled and T is the time taken.
2. Let's calculate the distance covered by the bus in 25 minutes using the given speed:
- Speed = 24 km/hr
- Time = 25 minutes = 25/60 hours (since 1 hour = 60 minutes)
- Distance (D) = Speed * Time = 24 * (25/60) = 10 km (Approximately)
3. Now, let's calculate the speed at which the bus must run to reduce the time of journey to 20 minutes:
- Time = 20 minutes = 20/60 hours (since 1 hour = 60 minutes)
- Speed = Distance/Time = 10/(20/60) = 10 * (60/20) = 10 * 3 = 30 km/hr
4. Therefore, the speed at which the bus must run to reduce the time of the journey to 20 minutes is 30 km/hr. Hence, option B is the correct answer.

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