Question
Download Solution PDFA person covers a certain distance by bus at 45 km/h and immediately returns to the starting point by car at a speed of 80 km/h. What is his average speed during the whole journey?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of bus = 45 km/h
Speed of car = 80 km/h
Formula Used:
Average Speed =
Calculation:
Let the distance covered by person by bus be d.
When the person travels by bus the time taken can be calculated as:
Time Taken = Distance/Speed =
When the person travels by car, the distance will be same. So, time taken can be calculated as:
Time Taken = Distance/Speed =
The total time taken for the entire journey can be calculated as:
Total time taken =
Also, the Total Distance covered = 2d
So, Average speed can be calculated as:
⇒
⇒
⇒
⇒
⇒ 57.6 km/h
∴ The average speed for the whole journey is 57.6 km/h.
Shortcut Trick
If distance is constant, the average speed =
Average speed =
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