First a train travels 115 km with a speed of 100 km/h. Then it covers the next 130 km with 120 km/h and the remaining 155 km in 30 minutes. Find the average speed of the train for the whole journey? (Give the answer to one decimal place accuracy.)
Question
First a train travels 115 km with a speed of 100 km/h. Then it covers the next 130 km with 120 km/h and the remaining 155 km in 30 minutes. Find the average speed of the train for the whole journey? (Give the answer to one decimal place accuracy.)
Solution
To find the average speed of the train for the whole journey, we first need to find the total time taken and the total distance covered.
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Calculate the time taken for each part of the journey:
- For the first 115 km at 100 km/h, time = distance/speed = 115/100 = 1.15 hours
- For the next 130 km at 120 km/h, time = distance/speed = 130/120 = 1.083 hours
- For the remaining 155 km covered in 30 minutes, convert minutes to hours: 30/60 = 0.5 hours
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Add up all the times to get the total time taken: 1.15 + 1.083 + 0.5 = 2.733 hours
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Add up all the distances to get the total distance covered: 115 + 130 + 155 = 400 km
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Calculate the average speed: total distance/total time = 400/2.733 = 146.3 km/h
So, the average speed of the train for the whole journey is approximately 146.3 km/h.
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