A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of $$72$$ km $$h-1$$. The jeep follows it at a speed of $$90$$ km $$h-1$$, crossing the turning $$10$$ s later than the bike. The distance (in$$ $$km) from turning point at which the police catch the culprit is $$________$$ .

Question

A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of $$72$$ km $$h-1$$. The jeep follows it at a speed of $$90$$ km $$h-1$$, crossing the turning $$10$$ s later than the bike. The distance (in$$ $$km) from turning point at  which the police catch the culprit is $$________$$ .

Infinity Learn · Accepted Answer

$$vp=90kmh$$−$$1=25ms$$−$$1$$,$$vc=72kmh$$−$$1=20ms$$−$$1In$$ $$10$$ s  culprit reaches point B from A. Distance covered by culprit,$$s=vt=20$$×$$10=200m$$.At time t $$=$$ $$10$$ s, the police jeep is $$200$$ m behind the culprit. Relative velocity between jeep and culprit is $$25$$−$$20=5ms$$−$$1Time$$ $$=sv=2005=40sIn$$ $$40$$ s, the police jeep will move from A to a distance s where, $$s=vt=25$$×$$40=1000m=1.0km$$ away. The jeep will catch the bike $$1$$ km far from the turning point.

A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km h-1. The jeep follows it at a speed of 90 km h-1, crossing the turning 10 s later than the bike. The distance (in km) from turning point at which the police catch the culprit is ________ .

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