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Time , Speed & Distance Problem


manish8109

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An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each successive second than its predesessor.If the ant had covered 1 mm in the first second and 8 mm more in each successive second, then the difference between the path it would cover during the same time and the actual path would be more than 6 mm but less than 30 mm.Find the time for which the ant moved(in sec).

 

a) 5 sec

b) 4 sec

c) 6 sec

d) 11 sec

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The first pattern of movement is

3+7+11+15+19+23

The second Pattern of movement is

1+9+17+25+33+41

 

it is evident that the difference in the net movement b/w the second pattern and the first pattern is more than 6 mm and less than 30mm for a movement of 4 seconds.

as,

in 4 seconds firstpattern= 3+7+11+15=36mm

second pattern= 1+9+17+25=52mm

difference =52-36=16mm which lies b/w 6 & 30

 

Ans is 4sec(B)

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