Question
‘A’ and ‘B’ started moving towards each other at
same time with a speed of 22 km/hr and 14 km/hr, respectively. If the distance covered by ‘A’ is 7 km more than that by ‘B’, when they meet then find the initial distance between them.Solution
Speeds given A = 22 km/h B = 14 km/h Ratio of distances When two move towards each other and meet at the same time: Distance_A : Distance_B = Speed_A : Speed_B = 22 : 14 = 11 : 7 Extra condition A covers 7 km more than B. So, difference = 11k – 7k = 4k = 7 → k = 7/4 = 1.75 Distances Distance_A = 11k = 11 × 1.75 = 19.25 km Distance_B = 7k = 7 × 1.75 = 12.25 km Initial distance = Distance_A + Distance_B = 19.25 + 12.25 = 31.5 km
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