Question
The ratio of speeds of βEβ and βFβ is 11:5,
respectively. If the sum of time taken by them to travel 550 km each is 80 hours, then find the difference between the time taken by them to travel the same distance.Solution
ATQ, Let the speeds of βEβ and βFβ be 11x km/hr and 5x km/hr, respectively. According to the question, (550/11x) + (550/5x) = 80 Or, 80x = 50 + 110 Or, 80x = 160 Or, x = 2 Therefore, speed of βEβ = 11x = 22 km/hr Speed of βFβ = 5x = 10 km/hr Required difference = (550/10) β (550/22) = 55 β 25 = 30 hours
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