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# A running track is 400 meters long. Two runners start out

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Manager
Joined: 01 Nov 2006
Posts: 70
A running track is 400 meters long. Two runners start out [#permalink]

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09 Nov 2006, 08:29
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A running track is 400 meters long. Two runners start out running a 5000 meter race at the same time and the slower runner takes 5 min/km. If each runner runs a steady pace, the pace the faster runner needs to pass the slower runner twice is closest to:
a) 4.0 min/km
b) 4.2 min/km
c) 4.3 min/km
d) 4.4 min/km
e) 4.5 min/km
Senior Manager
Joined: 01 Sep 2006
Posts: 301
Location: Phoenix, AZ, USA

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09 Nov 2006, 08:43
To pass him exactly twice faster runner should have 2 lap lead

so while faster runs 5000 slower should run 4200 to get 2 lap lead

time taken by slower to run 4200 = 4200*5/1000= 21 min

faster wunner should run 5000 m in 21 min
1000m in 21*1000/5000==4.2
B   [#permalink] 09 Nov 2006, 08:43
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