Question
Download Solution PDFA cyclist rides 24 km at 16 km/h and further 36 km at 15 km/h. If H is his average speed (in km/hour) for the journey, then the value of 13H is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is: Option 2) 200
Concept Used:
Time = Distance/ Speed
and
Average speed = Total Distance / Total Speed
Solution:
Distance1 = 24 km
Speed1 = 16 km/hr
So, the time taken by him to cover 24 km, time1 = 24/16 = 1.5 hours
same as,
Distance2 = 36 km
Speed2 = 15 km/hr
So, the time taken by him to cover 36 km, time2 = 36/15 = 2.4 hours
Now,
Total distance covered by him = Distance1 + Distance2 = 24 + 36 = 60 km
Total time taken by him = time1+ time2 = 1.5 + 2.4 = 3.9 hours
So, Average Speed (H) = Total Distance / Total time = 60/3.9
H = 60/3.9
13H = 13 × 60/3.9 = 200
So, the correct answer is Option 2.
Last updated on Apr 21, 2025
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