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Shahrukh starts from Barabanki to Fatehpur , 1 hour after Ajay starts. Shahrukh meets Kajol 1.5 hours after Shahrukh starts. If the speed of Shahrukh is at least 20km/h faster than the speed of Kajol. What is the minimum speed of Shahrukh to overtake Ajay, before he meets Kajol?

30
40
60
None of these

Correct Answer: None of these

Explanation:

Let t be the time after Kajol starts, when she meets Ajay, then

t = 300/(x+y)

This should be less than 2.5 or (x+y)>120

Since y= 3x/2 => y > 72

This (y>72) is greater than 67.5 km/h and hence Shahrukh will always overtake Ajay before he meets Kajol.

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