A police jeep is chasing a culprit.The culprit on his motorbike crosses a turning at 72 km/hr.The jeep follows it at 90 km/hr, crossing the turning 10 seconds later than the bike,how far from the turning will the jeep catch up with the bike?
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Answer:
3 km
Explanation:
VP = 90 km/h = 25 m/s. VC = 72 km/h = 20 m/s.
In 10 sec culprit reaches at point B from A. Distance converted by culprit S=vt=20×10=200m.
At time t = 10 sec the police jeep is 200 m behind the culprit Time=
v
s
=
5
200
=40s. (Relative velocity is considered).
In 40 s the police jeep will move from A to a distance S, where S=vt=25×40=1000m=1.0km away. ∴ The jeep will catch up with the bike, 1km far from the turning.
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