Question
The speed of βAβ and βBβ is 60 km/hr and 30
km/hr, respectively. If the distance covered by βAβ in βxβ hours is 120 km more than that by βBβ in the same time, then find the value of βxβ.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 βAβ and βBβ = 60:30 = 2:1 Let the distance covered by βAβ and βBβ be 2y km and y km, respectively According to the question, 2y β y = 120 Or, y = 120/1 = 120 Therefore, distance coved by βAβ = 2y = 240 km Time taken by βAβ = x = 240/60 = 4 hours
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