Again a race?
Algebra
Level
3
In a kilometer race, A beats B by 1 minute and beats C by 375 meters. If B beats C by 30 seconds, find the time taken by C to run 1 km. Time should be in seconds.
The answer is 240.
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1 solution
We need to calculate the speed of C. We are told that when A crosses the finish line, C is 375m from it. At this juncture, it will take B 60 seconds to cross the finish line. After, 60 seconds, C is now 30 seconds from the finish line. Hence, it takes C 90 seconds to traverse 375 meters, thus C's speed is 375/90 m/s
Therefore, the total time it takes C to finish the 1000m is 1000/(375/90)= 1000*(90/375)= 240 seconds.