Question
The speed of ‘A’ and ‘B’ is 60 km/hr and 30
km/hr, respectively. If the distance covered by ‘A’ in ‘x’ hours is 240 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’ = 60:30 = 2:1 Let the distance covered by ‘A’ and ‘B’ be 2y km and 1y km, respectively According to the question, 2y – y = 240 Or, y = 240/1 = 240 Therefore, distance coved by ‘A’ = 2y = 480 km Time taken by ‘A’ = x = 480/60 = 8 hours
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