Question
Download Solution PDFA car travels the first 160 km at a speed of 64 km/h and the next 160 km at a speed of 80 km/hr What is the average speed for the first 320 km of the tour?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed for the first 160 km = 64 km/h
Speed for the second 160 km = 80 km/h
Formula used:
Average speed = total distance/total time taken
Time taken to cover a certain distance = distance/speed
Calculation:
Total distance = 160 + 160 = 320 km
Time taken to cover the 160 km distance at 64 km/h = 160/64
⇒ 10/4 hours = 2.5 hours
Time taken to cover the 160 km distance at 80 km/h = 160/80
⇒ 2 hours
Total time taken to cover the distance of 320 km = 2 + 2.5 = 4.5 hours
Average speed = 320/4.5
⇒ 640/9 = 71.11 km/h
∴ The correct answer is 71.11 km/h.
Shortcut TrickCalculation:
| Time | Speed | Distance |
| 5 | 64 | 320 |
| 4 | 80 |
Now,
Average speed = (320 × 2)/(5 + 4)
⇒ 640/9 = 71.11 km/h
∴ The correct answer is 71.11 km/h.
Last updated on Jul 9, 2025
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