Question
The ratio of speeds of ‘E’ and ‘F’ 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 ‘E’ and ‘F’ 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 ‘E’ = 11x = 22 km/hr Speed of ‘F’ = 5x = 10 km/hr Required difference = (550/10) – (550/22) = 55 – 25 = 30 hours
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