R jogs at twice the speed of walking and runs at twice the speed of jogging. From his home to office, he covers half of the distance by walking and the rest by jogging. From his office to home, he covers half the distance jogging and the rest by running. What is his average speed (in km/h) in a complete round from his home to office and back home if the distance between his office and home is 10 km and he walks at the speed of 5 km/h?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
View all SSC CGL Papers >
  1. \(\frac{{90}}{8}\)
  2. \(\frac{{60}}{8}\)
  3. \(\frac{{60}}{9}\)
  4. \(\frac{{80}}{9}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{{80}}{9}\)
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:

R jogs at twice the speed of walking and runs at twice the speed of jogging.

The distance between his office and home is 10 km

He walks at the speed of 5 km/h

Concept used:

Average speed = Total distance/Total time taken

Calculation:

R's jogging speed = 5 × 2

⇒ 10 km/h

R's running speed = 10 × 2

⇒ 20 km/h

Now,

At the time of going to his office time taken = 5/5 + 5/10

⇒ 1 + 0.5

⇒ 1.5 hours

At the time of returning to his home time taken = 5/10 + 5/20

⇒ 0.5 + 0.25

⇒ 0.75 hour

So, total time = 1.5 + 0.75

⇒ 2.25 hours or 9/4 hours

Total distance = 20 km    [To and fro]

Average speed = 20/(9/4)

\(\frac{{80}}{9}\)

∴ His average speed (in km/h) in a complete round from his home to office and back home is \(\frac{{80}}{9}\).

Latest SSC CGL Updates

Last updated on Jul 10, 2025

-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.

-> 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.

More Average Speed Questions

More Speed Time and Distance Questions

Get Free Access Now
Hot Links: teen patti master plus teen patti master new version teen patti all game