Question

Ajay left x and y at 9 am.At the same time bala left y and x.After their meeting at a point on the way.Ajay took 16 minutes to reach y and bala took 9 minutes to reach x .Find the meeting time?

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Answer 1

• 9:12 am

Explanation:

Let the time Ajay and Bala took to meet be t, speed of Ajay be a and speed of Bala be b

Until they met, the distance they made:

• Ajay ⇒ at
• Bala ⇒ bt

Now, the rest of the distance took Ajay 16 min and Bala 9 min.

We can compare the distances as:

• 16a = bt
• 9b = at

From the first equation we have:

• a/b = t/16

From the second equation we have:

• a/b = 9/t

Comparing:

• t/16= 9/t
• t² = 9*16
• t² = 144
• t = √144
• t = 12 min

The meting time is:

• 9:00 am + 12 min = 9:12 am