Question
Download Solution PDFP and Q take part in 400 m race. P runs at 12 km/hr. P gives Q a start of 20 m and still beats him by 13 seconds. The speed of Q is: (Round up to two decimal places.)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
P and Q take part in 400 m race. P runs at 12 km/hr. P gives Q a start of 20 m and still beats him by 13 seconds.
Formula used:
Speed = Distance / Time
Calculations:
Speed of P = 12 km/hr = 12 × (5/18) m/s = 10/3 m/s
Distance covered by P = 400 m
Time taken by P = Distance / Speed = 400 / (10/3) = 120 seconds
Since P beats Q by 13 seconds, time taken by Q = 120 + 13 = 133 seconds
Distance covered by Q = 400 m - 20 m = 380 m
⇒ Speed of Q = Distance / Time = 380 / 133 m/s
⇒ Convert speed to km/hr: 380 / 133 × (18/5) = 10.29 km/hr
∴ The correct answer is option (2).
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