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Svetlana ran the first 5 kilometers of a 10-kilometer race at a constant rate of 12 kilometers per hour. If she completed the entire 10-kilometer race in 55 minutes, at what constant rate did she run the last 5 kilometers of the race, in kilometers per hour?
(A) 15
(B) 12
(C) 11
(D) 10
(E) 8
(A) 15
(B) 12
(C) 11
(D) 10
(E) 8
17 Jun 2018, 07:08
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time travelled for first 5 km + time for next 5 km = total time for 10 km
t1 + t2 = 55 min
=> (5/12 + 5/x) = 55/60 [ T = Distance / speed]
=> 5/x = 55/60 - 5/12
=> 5/x = 30/60
=> x = 10 ( option D )
t1 + t2 = 55 min
=> (5/12 + 5/x) = 55/60 [ T = Distance / speed]
=> 5/x = 55/60 - 5/12
=> 5/x = 30/60
=> x = 10 ( option D )
