Question
Download Solution PDFIn a 500 m race, P runs at 2 kmph. P gives Q a head start of 20 m and still beats him by 60 seconds. Find the speed of Q.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Data:
Length of the race: 500 m = 0.5 km (as we're dealing with kmph)
Speed of P : 2 kmph
Head start given to Q: 20 m = 0.02 km
Time P beats Q by: 60 seconds = 1 minute = 1/60 hours
Concept Used: Speed = Distance / Time
Solution:
Time taken by P to complete the race = Distance / Speed = 0.5 km / 2 kmph = 0.25 hours
Time taken by Q to complete the race = Time taken by P + Time to beat Q = 0.25 hours + 1/60 hours = 0.267 hours
Distance covered by Q = Total distance - Head start = 0.5 km - 0.02 km = 0.48 km
Speed of Q = Distance / Time = 0.48 km / 0.267 hours = 1.8 kmph
Hence, the speed of Q is 1.8 kmph.
Last updated on Jul 8, 2025
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