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Question

Two motor cars starting off with a time gap of 2 minutes, travel in the same direction with the same acceleration. Time taken by the second car, since its departure, to complete (1/9)th of the distance covered by the first car is:

A
3 minutes
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B
1 minute
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C
2 minutes
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D
none of the above
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Solution

The correct option is B 1 minute
If t is the time taken by a car to move a distance s, then,

Distance traveled by the first car:
s1=12at2
Distance traveled by the second car:
s2=12a(t2)2
Given: s2=s1/9
12at29=12a(t2)2
(tt2)2=9
t=3min
The time taken by the second car is 32=1 minute

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