A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of `72 kmh^-1`. The jeep follows it at as peed of 108 kmh^-1`, 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.

Answer

A

Explanation

` V_p =90 km h^(-1) =25 ms ^(-1) and v_c =72 km h^(-1) =20 ms^(-1) `
In 10 s culprit reaches point B from A . Distance covered by culprit , S 10 = 200m.
At time t= 10 s, the police jeep is 200 m behind the culprit Relative velocity between jeep and culprit is ` 25-20=5 ms ^(-1) `
Time `=(S)/(V) = (200)/( 5) = 40 s " " ` (Relative velocity is considered )
Relative velocity between jeep and culprit is `=1000m =1.0 km` away
The jeep will catch up with the bike 1 km far from the turning