Question
The speeds of 'Pawan' and 'Qureshi' are in the ratio of
8:5. If the total time they take to individually cover 400 km each sums up to 65 hours, what is the difference in the time taken by them to travel the same distance?Solution
ATQ, Let the speeds of ‘Pawan’ and ‘Qureshi’ be 8x km/hr and 5x km/hr, respectively ATQ, (400/8x) + (400/5x) = 65 Or, 65x = 50 + 80 Or, 65x = 130 Or, x = 2 Therefore, speed of ‘Pawan’ = 8x = 16 km/hr Speed of ‘Qureshi’ = 5x = 10 km/hr Required difference = (400/10) – (400/16) = 40 – 25 = 15 hours
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