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ATQ, We can say that distance covered by Amrita be ‘100a’ km. Distance covered at 15 km/h = 100a × 0.50 = ‘50a’ km Distance covered at 7.5 km/h = 50a × 0.40 = ‘20a’ km Distance covered at 9 km/h = 50a – 20a = ‘30a’ km ATQ; (50a/15) + (20a/7.5) + (30a/9) = 14 Or, 150a + 120a + 150a = 14 × 45 Or, 420a = 14 × 45 So, a = 1.5 So, required distance = 100 × 1.50 = 150 km
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