Question
Download Solution PDFR 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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 \(\frac{{80}}{9}\).
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.