Question
Download Solution PDFA person can complete a journey in 22 hours. He covers the first one-third part of the journey at the rate of 15 km/h and the remaining distance at the rate of 45 km/h. What is the total distance of his journey (in km)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total time = 22 hours
First 1/3 distance speed = 15 km/h
Remaining 2/3 distance speed = 45 km/h
Formula used:
Time = Distance ÷ Speed
Let total distance = D km
Calculation:
⇒ Time for first 1/3 distance = (1/3)D ÷ 15 = D ÷ 45
⇒ Time for remaining 2/3 distance = (2/3)D ÷ 45 = 2D ÷ 135 = D ÷ 67.5
⇒ Total time = D ÷ 45 + D ÷ 67.5
Given: D ÷ 45 + D ÷ 67.5 = 22
⇒ LCM of 45 and 67.5 = 135
⇒ (3D + 2D) ÷ 135 = 22
⇒ 5D ÷ 135 = 22
⇒ D = (22 × 135) ÷ 5
⇒ D = 2970 ÷ 5 = 594 km
∴ Total distance is 594 km.
Last updated on Jul 16, 2025
-> More than 60.65 lakh valid applications have been received for RPF Recruitment 2024 across both Sub-Inspector and Constable posts.
-> Out of these, around 15.35 lakh applications are for CEN RPF 01/2024 (SI) and nearly 45.30 lakh for CEN RPF 02/2024 (Constable).
-> The Examination was held from 2nd March to 18th March 2025. Check the RPF Exam Analysis Live Updates Here.