A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of $72 \mathrm{~km} / \mathrm{h}$. The jeep follows it at a speed of $90 \mathrm{~km} / \mathrm{h}$, 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?
$V_{\text {bike }}=72^{\times \frac{5}{18}}=20 \mathrm{~m} / \mathrm{s}$
$V_{\text {police }}=90^{\times \frac{5}{18}}=25 \mathrm{~m} / \mathrm{s}$
Distance travelled by culprit in 10 sec $=$ speed $\times$ time
$=20 \times 10$
$=200 \mathrm{~m}$
Time to catch culprit by police=Relative distance/Relative speed
$=\frac{200}{(25-20)}$
$\mathrm{T}=40 \mathrm{sec}$
So, police travels distance of $=25 \times 40$
$=1000 m=1 \mathrm{~km}$