Question
Download Solution PDFTwo-thirds of a certain distance was covered at the speed of 45 km/h, one-fourth at the speed of 60 km/h and the rest at the speed of 75 km/h. Find the average speed per hour for the whole journey. (correct to 2 decimal places)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
2/3 of journey = 45 kmph
1/4 of journey = 60 kmph
(1 - 2/3 - 1/4 = 1/12) of journey = 75 kmph
Formula:
Average speed = Total distance/Total time
Calculation:
Let total distance of journey be a km.
Time taken for 2/3 of journey = 2a/135 hours
Time taken for 1/4 of journey = a/240 hours
Time taken for 1/12 of journey = a/900 hours
Total time taken for a km = 2a/135 + a/240 + a/900 = 217a/10800 hours
∴ Average speed = a/(217a/10800) = 49.77kmph
Last updated on Jul 9, 2025
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