Problem Solving (PS) | Re: Two cars P and Q start from two points A and B towards each other

The method that i have used as described in the attachment below :
Consider the distance between A and B as D.
Speed of P as x Kmph and Q as y Kmph.
Now keeping time as constant for the first meetup :
D-40/x = 40/y
From this we derive the ratio of the speeds :
D-40/ 40 = x/y.

Now moving to the next step, reversing the direction:
Distance that Q traveled post meetup = 40 + D - 20 Km
Distance that P traveled post meetup = D - 40 + 20 Km

So here again keeping the time as constant and reversing the speeds we can say :
D-20/40 = D+20/D-40

Solving the same we get D = 100.

Hence IMO A

Attachments File comment: Basic Solution

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Statistics : Posted by IshanSaini • on 19 Sep 2023, 10:45 • Replies 2 • Views 201

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