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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