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. The speed of Q is: (Round up to two decimal places.)
10.29 km/hr
Let the speed of Q be v km/hr.
Speed of P = 12 km/hr
Distance covered by P = 400 m = 0.4 km
Distance covered by Q = 400 - 20 = 380 m = 0.38 km
Time taken by P = 0.4/12 hr = 1/30 hr = 2 min
Time taken by Q = 0.38/v hr
Given that P beats Q by 13 seconds = 13/3600 hr
Time taken by Q = Time taken by P + 13/3600 0.38/v = 1/30 + 13/3600 0.38/v
= (120 + 13)/3600 = 133/3600 v = 0.38 * 3600 / 133 v = 10.29 km/hr (approximately)
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