A bus travels at a speed of 50 km/h for 12 minutes & then at a speed of 40 km/h for the next 18 minutes. Total distance covered by the bus during this time is

Question

Accepted Answer

To determine the total distance covered by the bus, we need to calculate the distance traveled during each segment of the journey and then sum these distances.

1. **First Segment:**
   - Speed = 50 km/h
   - Time = 12 minutes = 12/60 hours = 0.2 hours
   - Distance = Speed × Time = 50 km/h × 0.2 hours = 10 km

2. **Second Segment:**
   - Speed = 40 km/h
   - Time = 18 minutes = 18/60 hours = 0.3 hours
   - Distance = Speed × Time = 40 km/h × 0.3 hours = 12 km

3. **Total Distance:**
   - Total Distance = Distance of First Segment + Distance of Second Segment
   - Total Distance = 10 km + 12 km = 22 km

Therefore, the total distance covered by the bus is 22 km, which corresponds to Option 2.

**Explanation for Other Options:**

- **Option 1 (20 km):** This option is incorrect because it underestimates the total distance. The calculations clearly show that the bus covers 10 km in the first segment and 12 km in the second segment, totaling 22 km.

- **Option 3 (24 km):** This option is incorrect because it overestimates the total distance. The correct calculation shows that the total distance is 22 km, not 24 km.

- **Option 4 (28 km):** This option is incorrect because it significantly overestimates the total distance. The calculations demonstrate that the bus covers only 22 km in total.

In conclusion, the correct answer is Option 2, as the calculations accurately support that the total distance covered by the bus is 22 km.