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Aman completes his journey in 14 hours. He covers half the distance at 39 km/h and the rest at 45 km/h. What is the length of the journey (in Km)?
592
591
594
585
585
To find the total length of the journey, we use the formula Time = Distance / Speed. Let the total distance be 2D. Aman travels a distance D at 39 km/h and another distance D at 45 km/h, taking a total of 14 hours. Setting up the equation D/39 + D/45 = 14 and solving for 2D yields the total journey length of 585 km.
To find the total length of the journey, we use the formula Time = Distance / Speed. Let the total distance be 2D. Aman travels a distance D at 39 km/h and another distance D at 45 km/h, taking a total of 14 hours. Setting up the equation D/39 + D/45 = 14 and solving for 2D yields the total journey length of 585 km.
Quantitative aptitude and arithmetic problem-solving form a core component of quantitative sections in competitive exams like SSC CGL, UPSC CSAT, and Banking examinations.
Time equals distance divided by speed for each segment of the trip.
Equal distance halves allow the use of harmonic mean or direct algebraic formulation.
Solving yields a half-distance of 292.5 km, making the full journey 585 km.
Aman's total travel time is exactly 14 hours divided between two different constant speeds.
Option D (585) is mathematically derived and matches the official answer key.
Options A, B, and C represent incorrect calculations or distractor values.
D is correct тАФ The total length of the journey is 585 km based on the given speeds and time.
Always test time-speed-distance problems with equal distance segments using the average speed formula (2ab / a+b) for rapid verification.
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