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)?
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A.
481
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B.
480
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C.
473
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D.
471
Correct Answer:
B. 480
Explanation:
The correct answer is Option B: 480.
To find the total distance, let the entire journey be denoted as D km. Akshat travels the first half of the distance (D/2) at a speed of 72 km/h and the second half (D/2) at 36 km/h. Since the total time taken for the trip is 10 hours, we can set up the equation using the formula Time = Distance / Speed: (D/2) / 72 + (D/2) / 36 = 10. Simplifying this, we get D/144 + D/72 = 10. By finding a common denominator, the equation becomes (D + 2D) / 144 = 10, which simplifies to 3D / 144 = 10. Solving for D, we find 3D = 1440, resulting in a total journey length of 480 km.
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