Question
The speed of ‘A’ and ‘B’ is 30 km/hr and 12
km/hr, respectively. If the distance covered by ‘A’ in ‘x’ hours is 360 km more than that by ‘B’ in the same time, then find the value of ‘x’.Solution
If the time is same, then the ratio of the speeds is equal to the ratio of the distance covered Therefore, ratio of the distance covered by ‘A’ and ‘B’ = 30:12 = 5:2 Let the distance covered by ‘A’ and ‘B’ be 5y km and 2y km, respectively According to the question, 5y – 2y = 360 Or, y = 360/3 = 120 Therefore, distance coved by ‘A’ = 5y = 600 km Time taken by ‘A’ = x = 600/30 = 20 hours
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