Question
'A' starts a journey and covers the first half of the
total distance at a speed of 15 km/hr. Then, he travels half of the remaining distance at 5 km/hr and the final portion at 3 km/hr. If it takes him a total of 10 hours to complete the entire journey, what is the total distance traveled by 'A'?Solution
Let the total distance covered by ‘A’ be ‘4x’ km Distance covered with speed of 15 km/hr = 0.5 × 4x = 2x km/hr Distance covered with speed of 5 km/hr = 0.5 × (4x – 2x) = ‘x’ km/hr ATQ, (2x/15) + (x/5) + (x/3) = 10 Or, {(2x + 3x + 5x)/15} = 10 Or, 10x = 150 Or, x = 150/10 = 15 Therefore, total distance covered by ‘A’ = 4x = 60 km
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