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Shane Macguire Grade: upto college level
         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? 
3 years ago

Answers : (1)

Deepak Patra
askIITians Faculty
474 Points
										Sol. 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 = 200 m.
At time t = 10 sec the police jeep is 200 m behind the culprit
Time = s/v = 200 / 5 = 40 s. (Relative velocity is considered).
In 40 s the police jeep will move from A to a distance S, where
S = vt = 25 × 40 = 1000 m = 1.0 km away.
∴ The jeep will catch up with the bike, 1 km far from the turning.
3 years ago
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