A policeman chases a thief.

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.
एक पुलिसकर्मी एक चोर का पीछा करता हैं। पुलिसकर्मी तथा चोर की चाल क्रमश: 10 kmph और 8 kmph हैं। यदि पुलिसकर्मी 15 मिनट देर बाद चोर का पीछा करना शुरू करता है, तो पुलिसकर्मी को चोर को पकडंने में कितना समय लगेगा?

60 minutes / मिनट 15 minutes / मिनट 45 minutes / मिनट 30 minutes / मिनट

Detailed Solution & Logic

Correct Answer:

60 minutes / मिनट

Speed of policeman = 10 km/h, Speed of thief = 8 km/h
Time delay of policeman = 15 minutes = $ \dfrac{1}{4} $ h
Distance lead of thief = $ 8 \times \dfrac{1}{4} = 2 $ km
Relative speed = 10 - 8 = 2 km/h
Time to catch thief = $ \dfrac{2}{2} $ = 1hour = 60 minutes
Answer: 60 minutes

A policeman chases a thief.

Detailed Solution & Logic

Similar Practice Questions

More Time Speed and Distance Questions