SOLUTION: in a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many will A beat C in a race of 400 metres?

Question 838087: in a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many will A beat C in a race of 400 metres?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
in a race of 600 metres, A can beat B by 60 metres and
in a race of 500 metres, B can beat C by 50 metres.
By how many will A beat C in a race of 400 metres?
:
Let's assume A finishes the 600 m race in 60 sec, then
600/60 = 10 m/sec is his speed
B traveled (600-60 = 540 m in 60 sec, therefore
540/60 = 9 m/sec is B's speed
:
"in a race of 500 metres, B can beat C by 50 metres."
500/9 = 55.56 sec is B's time to finish a 500 m race
C traveled 500-50 = 450 m in 55.56 sec, therefore
450/55.56 = 8.1 m/sec is C's speed
:
By how many will A beat C in a race of 400 metres?
400/10 = 40 sec for A to run a 400 m race
C will travel 8.1*40 = 324 m in 40 sec
therefore
C will be 400-324 = 76 m behind when A crosses the finish line
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