Question
Download Solution PDFOne third of a journey is covered at the rate of 30 km/h, one fourth at the rate of 50 km/h and the rest at 60 km/h. Find the average speed for the whole journey. (Correct to 2 decimal places)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
1/3 of journey = 30 kmph
1/4 of journey = 50 kmph
(1 - 1/3 - 1/4 = 5/12) of journey = 60 kmph
Formula:
Average speed = Total distance/Total time
Calculation:
Let total distance of journey be a km.
Time taken for 1/3 of journey = a/90 hours
Time taken for 1/4 of journey = a/200 hours
Time taken for 5/12 of journey = a/144 hours
Total time taken for a km = a/90 + a/200 + a/144 = 83a/3600 hours
∴ Average speed = a/(83a/3600) = 43.37kmph
Last updated on Jul 8, 2025
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