SOLUTION: sukriti and saloni are athletes. sukriti covers a distance of 1 km in 5 minutes and 50 seconds, while saloni covers the same distance in 6 min and 4 seconds. if both them start tog

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Question 754865: sukriti and saloni are athletes. sukriti covers a distance of 1 km in 5 minutes and 50 seconds, while saloni covers the same distance in 6 min and 4 seconds. if both them start together and run at uniform speed, by what approximate distance will sukriti win a 5 km mini marathon?
(A). 250m
(B). 275m
(C). 200m
(D). 225m
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Convert all times to seconds
Sukriti can cover the same distance in less time, so
Sukriti is the faster runner and finishes the race first.
-----------------
+1+%2F+350+ = Sukriti's speed in km/sec
Let +t+ = Sukriti's time to run +5+ km
+5+=+%28+1%2F350+%29%2At+
+t+=+1750+ sec
------------------
Let +d+ = Saloni's distance covered in this time
+d+=+%28+1%2F364+%29%2A1750+
+d+=+4.8077+ km
-------------------
The difference is
+5+-+4.8077+=+.192+ km
+.192%2A1000+=+192+ m
The closest answer is (C) 200 m