a police jeep is chasing a culprit going on a motor bike.the motorbike crosses a turning at a speed of 72km/hr.the jeep follows it at a speed of 108km/hr, crossing the turning ten seconds later than the bike.assuming that they travel at constant speeds,calculate USING THE CONCEPT OF RELATIVE VELOCITY how far from the turning will the jeep catch up with the bike.
a police jeep is chasing a culprit going on a motor bike.the motorbike crosses a turning at a speed of 72km/hr.the jeep follows it at a speed of 108km/hr, crossing the turning ten seconds later than the bike.assuming that they travel at constant speeds,calculate USING THE CONCEPT OF RELATIVE VELOCITY how far from the turning will the jeep catch up with the bike.
Speed of motor bike= 72km/hr = 72x1000/3600 = 20 m/sec
Speed of Police jeep = 108 km/hr = 108x1000/3600 = 30 m/sec
Let the jeep catch up the bike after t sec .
At this time the distance travelled by the jeep = speed x time= 30 x t
Distance travelled by motor bike = 20 x (t+10)
at this distance both will be at same position thus equating above values
30t = 20 (t+10) => t= 20 sec.
Thus distance travelled by jeep in 20 sec = 30x20= 600 m Ans
Speed of motor bike= 72km/hr = 72x1000/3600 = 20 m/sec
Speed of Police jeep = 108 km/hr = 108x1000/3600 = 30 m/sec
Let the jeep catch up the bike after t sec .
At this time the distance travelled by the jeep = speed x time= 30 x t
Distance travelled by motor bike = 20 x (t+10)
at this distance both will be at same position thus equating above values
30t = 20 (t+10) => t= 20 sec.
Thus distance travelled by jeep in 20 sec = 30x20= 600 m Ans
