Question
A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by
and
respectively Then

- At
s the motor bike and car are 180m apart
- At
s the motor bike and car are 720m apart
- The relative distance between motor bike and car reduces to zero at
s and both are 1080m far from origin
- The relative distance between motor bike and car always remains same
The correct answer is: The relative distance between motor bike and car reduces to zero at
s and both are 1080m far from origin
Distance travelled by motor bike at
s
(18)(60)=540 m
Distance travelled by car at
s
=(18)(60)=720 m
Therefore, separation between them at
s is 180m. Let, separation between them decreases to zero at time
beyond 18s.
Hence,
and 


s beyond 18s or
Hence,
s=27s from start and distant travelled by both is
=
m
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