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garik1379 [7]
3 years ago
9

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 r

each y and bala took 9 minutes to reach x .Find the meeting time?
​
Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

  • 9:12 am

Step-by-step explanation:

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

<u>Until they met, the distance they made:</u>

  • Ajay ⇒  at  
  • Bala ⇒  bt

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

<u>We can compare the distances as:</u>

  • 16a = bt
  • 9b = at

<u>From the first equation we have:</u>

  • a/b = t/16

<u>From the second equation we have:</u>

  • a/b = 9/t

<u>Comparing:</u>

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

<u>The meting time is:</u>

  • 9:00 am + 12 min = 9:12 am
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