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A police jeep is chasing a …

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A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72kmph.The jeep follows it at a speed of 108kmph,crossing the turning ten seconds later than the bike.Assuming that they travel at constant speeds, how far from the turning will the jeep catch up with the bike?
  • 1 answers

Mehak Gautam 6 years, 4 months ago

According to the question, Velocity of the police jeep = 108 km/hr = 30 m/s Velocity of culprit's motorbike = 72km/hr = 20m/s Distance covered by the culprit in 10 secs, S=vt S= 20 × 10 = 200m Which means the police is 200 m behind the motorbike Relative velocity = 30 - 20 = 10 m/s Time = distance to be covered / relative velcity = 200/10 s = 20 s Then, S = vt S= 30 × 20 m =600 m The police jeep will catch up with the bike 600m away from the turning .
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