Question
Download Solution PDFA person travels 600 km by truck at 80 km/h, 800 km by aeroplane at 400 km/hr and 100 km by motorcycle at 50 km/h. What is the average speed for the entire distance?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance by truck = 600 km
Speed by truck = 80 km/h
Distance by aeroplane = 800 km
Speed by aeroplane = 400 km/h
Distance by motorcycle = 100 km
Speed by motorcycle = 50 km/h
Formula used:
Average speed = Total distance / Total time
Calculation:
Total distance = 600 + 800 + 100
⇒ Total distance = 1500 km
Time by truck = Distance / Speed
⇒ Time by truck = 600 / 80 = 7.5 hours
Time by aeroplane = Distance / Speed
⇒ Time by aeroplane = 800 / 400 = 2 hours
Time by motorcycle = Distance / Speed
⇒ Time by motorcycle = 100 / 50 = 2 hours
Total time = 7.5 + 2 + 2
⇒ Total time = 11.5 hours
Average speed = Total distance / Total time
⇒ Average speed = 1500 / 11.5
⇒ Average speed ≈ \(130\frac{10}{23}\) km/h
∴ The correct answer is option (2).
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