A policeman chases a thief. The speeds of the policeman and the thief are 8 km/h and 6 km/h, respectively. If the policeman started 10 minutes late, at what distance he will catch the thief?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
View all SSC CGL Papers >
  1. 6 km
  2. 8 km
  3. 4 km
  4. 2 km

Answer (Detailed Solution Below)

Option 3 : 4 km
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
3.3 Lakh Users
100 Questions 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given:

Speed of thief = 6 km/h

Speed of policeman = 8 km/h

Formula Used:

Speed = Distance/Time

Concept Used:

If two objects are moving in the same direction with speeds S 1  and S 2 ,

Their relative speed is S 1  – S 2

Calculation:

Only the thief runs for 10 minutes.

Speed of thief in m/s = 6 km/h × 5/18 = 5/3 m/s

Time Taken in sec = 10 × 60 sec = 600 sec

Distance covered by the thief = Speed × Time

⇒ 5/3 m/s × 600 sec = 1000 m

Relative speed = 8 – 6 = 2 km/h

⇒ 2 × 5/18 m/s

⇒ 5/9 m/s

Time to catch the thief = Time required to cover 1000

⇒ 1000/5 × 9 s

⇒ 200 × 9 s

⇒ 1800 s = 30 min

Distance covered by the policeman in 30 min = 8 × 1/2

= 4 km.

∴ The policeman will catch the thief in 4 km.

Latest SSC CGL Updates

Last updated on Jul 8, 2025

-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

More Relative Speed Questions

More Speed Time and Distance Questions

Get Free Access Now
Hot Links: teen patti master apk download teen patti vungo mpl teen patti teen patti apk download teen patti real cash game