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A police jeep is chasing a culprit going on a motorbike.
The motorbike crosses a turning at a speed of 72 km/h.
The jeep follows it at 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?

 

Asked by gargpuneet989 19th July 2018, 2:49 PM
Answered by Expert
Answer:
Speed of bike = 72 km/h = 20 m/s
Speed of jeep = 90 km/hr = 25 m/s
 
let us take the turning point as reference point to calculate the time and distance.
 
let after t sec the bike has travelld, the culprit is caught by the police. Since the jeep has started 10 seconds after the bike at turning point we can write
 
20×t = 25×(t-10) ; 
solving the above eqn. for t, we get t=50 s; hence the distance travelled by bike = 20×50 = 1000 m = 1 km;
 
Hence 1 km from turning point, bike is caught up with jeep
Answered by Expert 20th July 2018, 11:30 AM
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