Question
Axar covered 1/4th of the total distance at a speed of
25 km/hr. Then, he covered (1/2) of the remaining distance at a speed of 30 km/hr, and the rest of the distance at a speed of 25 km/hr. If the total time taken by Axar to cover the entire distance is 6 hours, determine the total distance he traveled.Solution
ATQ, Let the total distance covered by ‘Axar’ be ‘4a’ km ATQ, (a/25) + {3a/(2 × 30)} + {3a/(2 × 25)} = 6 Or, 60a + 75a + 90a = 9000 Or, 4a + 5a + 6a = 600 Or, 15a = 600 Or, a = 600/15 = 40 Therefore, total distance covered by ‘Axar’ = 4x = 4 × 40 = 160 km
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