A motorcycle passes a turning at 72 km/h. A police jeep passes that turning 10 s later travelling at 90 km/h, both at constant speed. Find the distance (in km) from the turning where the jeep catches the motorcycle.
Physics · Mixed Chapter
JEE Main Practice

Question

A motorcycle passes a turning at 72 km/h. A police jeep passes that turning 10 s later travelling at 90 km/h, both at constant speed. Find the distance (in km) from the turning where the jeep catches the motorcycle.

Physics · Mixed Chapter

G1 Physics · Accepted Answer

Step 1: Convert speeds: v_bike = 72/3.6 = 20 m/s; v_jeep = 90/3.6 = 25 m/s. Step 2: At the instant the jeep reaches the turning, the bike is 20×10 = 200 m ahead. Step 3: Relative speed = 25 − 20 = 5 m/s. Chase time after jeep passes turning = 200/5 = 40 s. Step 4: Jeep distance = 25×40 = 1000 m = 1 km. (The PDF's ‘900’ appears to be an OCR/degree-symbol artefact for 90.)