Question

A policeman chases a thief. The speed of the policeman and thief are 10 kmph and 8 kmph, respectively. If the policeman started 15 minutes late, find the time taken by the policeman to catch the thief.

• A. 15 minutes
• B. 45 minutes
• C. 30 minutes
• D. 60 minutes

Answer 1

Answer:

D. 60 minutes

Speed of policeman = 10 km/h
Speed of thief = 8 km/h

Distance covered by thief in 15 minutes

$15 minutes (= \frac{15}{60} = \frac14) hour$

$\text{Lead distance} = 8 \times \frac14 = 2 \text{ km}$

Relative speed

$10 - 8 = 2 \text{ km/h}$

Time to catch thief

$\text{Time} = \frac{2}{2} = 1 \text{ hour}$

Final Answer:

1 hour= 60 min