Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Akshat completes his journey in 10 hours. He covers half the distance at 72 km/h and the rest at 36 km/h. What is the length of the journey (in Km)?
481
480
473
471
480
To calculate the total distance (D), we use the time-distance relationship: (D/2) / 72 + (D/2) / 36 = 10. Solving for D, we get (D/144) + (D/72) = 10, which simplifies to (D + 2D) / 144 = 10, resulting in 3D = 1440, so D = 480 km.
To calculate the total distance (D), we use the time-distance relationship: (D/2) / 72 + (D/2) / 36 = 10. Solving for D, we get (D/144) + (D/72) = 10, which simplifies to (D + 2D) / 144 = 10, resulting in 3D = 1440, so D = 480 km.
This problem relates to the concept of Average Speed in kinematics, where Average Speed = 2xy / (x+y) for equal distances. In competitive exams, this is frequently tested alongside Unit Conversion and Rate, Time, and Distance (RTD) topics.
The formula for time is Distance / Speed.
Since distances are equal (half each), the equation is constructed based on the sum of time segments.
Average speed for the entire trip is (2 * 72 * 36) / (72 + 36) = 48 km/h.
Total Distance = Average Speed * Total Time = 48 * 10 = 480 km.
Calculation: 3D/144 = 10 => 3D = 1440 => D = 480.
The total distance is 480 km, where 240 km is covered at 72 km/h (3.33 hrs) and 240 km at 36 km/h (6.66 hrs), totaling 10 hours.
Option A, C, and D are incorrect as they do not satisfy the condition of the 10-hour total duration based on the given speeds.
B is correct тАФ The total length of the journey is calculated to be 480 km based on the time-speed equilibrium.
Always convert units if the speed is in km/h and time is in minutes; in this question, units were consistent, which is a common trap in speed-time questions.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants