The problem asks for the average speed of a bus over its entire journey. Average speed is calculated by dividing the total distance traveled by the total time taken.
Calculating Total Distance
The bus travels in two parts:
- First part: 50 km
- Second part: 70 km
Total distance = Distance (part 1) + Distance (part 2)
Total distance = 50 km + 70 km = 120 km
Calculating Total Time
The time taken for each part is:
- First part: 95 minutes
- Second part: 85 minutes
Total time = Time (part 1) + Time (part 2)
Total time = 95 min + 85 min = 180 minutes
Converting Time to Hours
Since the desired speed unit is km/h, we need to convert the total time from minutes to hours.
Total time in hours = \(\frac{180 \text{ min}}{60 \text{ min/hour}}\) = 3 hours
Calculating Average Speed
The formula for average speed is:
Average Speed = \(\frac{\text{Total Distance}}{\text{Total Time}}\)
Using the calculated values:
Average Speed = \(\frac{120 \text{ km}}{3 \text{ hours}}\)
Average Speed = 40 km/h
Conclusion
The average speed of the bus is 40 km/h.
Similar Questions
- Wasim travels 455 km at 91 km/hr, the next 390 km at 78 km/hr and the next 476 km at 68 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)
- Heena covers a certain distance by train at 110 km/h and she returned to the starting point covering the same distance, driving a car at 50 km/h. Find her average speed for the whole journey.
- A man completes a journey in 11 h. He travels first half of the journey at the speed of 25 km/h and the second half at the speed of 30 km/h. Find the total distance of the journey.
- Sachin covers a certain distance by car driving at 80 km/h and he returns to the starting point riding on a scooter at 50 km/h. Find his average speed for the whole journey up to 2 decimal places.
- An aeroplane flies along the sides of an equilateral triangle at the speed of 300 km/h, 200 km/h and 240 km/h, respectively. The average speed of the plane while flying around the triangle is:
- If a motor car travels the first half of a distance at a speed of 30 km/h and the remaining half distance at a speed of 50 km/h, what will be its average speed?
- What is Ram's average speed if he goes from Point X to Point Y at 8 km/hr and returns from Point Y to Point X at 12 km/hr?
- A man rides his bicycle for 10 km at an average speed of 12 km/h and further travels 12 km at an average speed of 10 km/h. What is his approximate average speed for the entire trip?
- A person starting from his house covers a distance at 15 km/hr and returns to the starting place at a speed of 10 km/hr. His average speed during the whole journey is:
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Important Questions from Average Speed
A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed ( in km/h) for the entire journey?
Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).
Shyam drives his car 30 km at a speed of 45 km/h and, for the next 1 h 20 m, he drives it at a speed of 51 km/h. Find his average speed (in km/h) for the entire journey.
X and Y travel a distance of 90 km each such that the speed of Y is greater than that of X. The sum of their speeds is 100 km/h and the total time taken by both is 3 hours 45 minutes. The ratio of the speed of X to that of Y is:
If a man travels at \(\frac{1}{x}\) km/h on a journey and returns at \(\rm \frac{1}{x^2}\) km/h, then his average speed for the journey is:
