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?

Answer

A, B, C, D

Explanation

`V_p=0` km/h=25 m/s
`V_e`= 72 km/h=20 m/s
In 10 sec culprit reaches at point B from A. Distance covered by culprit
`S=vt=20xx10=200m` At time t=10 sec
the police jeepis 200 m behind the Culprit.
Relative velocity between jeep and culprit
`25-20`=`5m/s`
Time =S/v= 200/5=40s (Relative velocity is considered).`
In 40 s the police jeep will move from A to a distance S
where `
S=vt=25xx40
= 1000 m = 1.0 km` away
`:.` The jeep will catch up with the bike, 1 km far from the turning.