Question
Download Solution PDFDuring the first two hours of a journey, a man drove at the speed of 45 km/h and during next two hours and fifteen minutes he drove at a speed of 72 km/h. He maintained a speed of 80 km/h for another three hours and 45 minutes. What was his average speed (in km/h) for the entire journey?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed during the first two hours = 45 km/h
Speed during the next two hours and fifteen minutes = 72 km/h
Speed during the last three hours and forty-five minutes = 80 km/h
Formula Used:
Average speed = Total distance travelled / Total time taken
Calculation:
Time for the first part = 2 hours
Time for the second part = 2 hours and 15 minutes = 2 + 15/60 = 2.25 hours
Time for the third part = 3 hours and 45 minutes = 3 + 45/60 = 3.75 hours
Distance for the first part = Speed × Time = 45 × 2 = 90 km
Distance for the second part = Speed × Time = 72 × 2.25 = 162 km
Distance for the third part = Speed × Time = 80 × 3.75 = 300 km
Total distance = 90 + 162 + 300 = 552 km
Total time = 2 + 2.25 + 3.75 = 8 hours
Average speed = Total distance / Total time
⇒ Average speed = 552 / 8
⇒ Average speed = 69 km/h
The average speed for the entire journey is 69 km/h.
Last updated on Dec 9, 2024
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