Question
Sita increased her speed by 25% and was able to complete
a journey of 360 km in 3 hours less than she would have with her original speed. Find the time she would take to travel 144 kilometers at 20% less speed than her original speed.Solution
ATQ,
Let actual speed of Sita be 4x km/hr Therefore, increased speed of Sita = 4x × (5/4) = '5x' km/hr ATQ, 360 / 4x - 360 / 5x = 3 Or, 90 / x - 72 / x = 3 So, 'x' = 6 Actual speed = 4x = 24 km/hr Decreased speed = (80/100) × 24 = 19.2 km/hr Required time = 144 / 19.2 = 7.5 hours
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