# How much distance did Shaktiman run to catch the criminal?

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Shaktiman saw a criminal at a distnce of 35m. When Shaktiman started chasing him, the criminal also started running.
If the ratio of speeds Shaktiman to criminal is 12 : 11.
Then how much distance did Shaktiman run to catch the criminal?

posted Jun 27, 2018

420m

If x- Shaktiman's speed and y- criminal's speed, t- time to run, we have
1) x/y=12/11,
2) xt-yt=35
3) xt =?
from 1) x=y*12/11
considering this in 2) xt-yt=35-> yt*12/11-yt=35->yt*1/11=35->yt=385
as xt=yt+35,
xt=385+35=420m
xt=420m

35m*12m = 420 m
For each 12m of S run, the distance between S and T will reduce to 1m.
so to reduce to this 35m distance, s should run 12m for 35 times

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