Question
The speed of βAβ and βBβ is 30 km/hr and 12
km/hr, respectively. If the distance covered by βAβ in βxβ hours is 360 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 = 30:12 = 5:2 Let the distance covered by βAβ and βBβ be 5y km and 2y km, respectively According to the question, 5y β 2y = 360 Or, y = 360/3 = 120 Therefore, distance coved by βAβ = 5y = 600 km Time taken by βAβ = x = 600/30 = 20 hours
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