A police jeep is chasing a culprit going on a motor bike. The motor bike crosses a turning at a speed of 72 km/h. The jeep follows it a speed of 90 km/h 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 ? (in km)
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Ans. 1
Sol. Speed of bike = 72 × 
= 20 m/s
speed of jeep = 90 × 
= 25 m/s.
relative velocity of jeep w. r. t. bike = 25 – 20 = 5 m/sdistance covered by bike in 10s = 20 × 10
= 200 m.
time taken by Jeep to cover 200 m with velocity 5 m/s. t = 
= 40 s.
Therefore distance covered by police jeep in40 s
= 40 × 25 = 1000 m
= 1 km.
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