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Two buses start at the same time, one from P to Q and the other from Q to P. If both buses reach after 4 hours and 16 hours at Q and P respectively after they cross each other, what would be the ratio of speeds of the bus starting from P and that of the one starting from point Q?A)Sat Dec 30 1899 08:25:10 GMT+0521 (India Standard Time)B)Sat Dec 30 1899 07:22:10 GMT+0521 (India Standard Time)C)Sat Dec 30 1899 09:24:10 GMT+0521 (India Standard Time)D)None of these.

Question

Two buses start at the same time, one from P to Q and the other from Q to P. If both buses reach after 4 hours and 16 hours at Q and P respectively after they cross each other, what would be the ratio of speeds of the bus starting from P and that of the one starting from point Q?A)Sat Dec 30 1899 08:25:10 GMT+0521 (India Standard Time)B)Sat Dec 30 1899 07:22:10 GMT+0521 (India Standard Time)C)Sat Dec 30 1899 09:24:10 GMT+0521 (India Standard Time)D)None of these.

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Solution

The question seems to be incorrectly formatted. The options provided are dates and times, which do not make sense in the context of the question. The question is asking for a ratio of speeds, which should be a numerical answer.

However, I can still help you solve the problem.

The problem is a classic relative speed problem. Here's how you can solve it:

  1. Let's denote the distance between P and Q as D.
  2. Let's denote the speed of the bus from P as Sp and the speed of the bus from Q as Sq.
  3. The time it takes for the buses to meet is the same for both buses. Let's denote this time as T.
  4. After they meet, the bus from P takes 4 hours to reach Q and the bus from Q takes 16 hours to reach P.

From this information, we can write two equations:

  1. D = Sp * T + Sq * 4 (This is because the bus from P travels for T hours at speed Sp and then for 4 hours at speed Sq to reach Q)
  2. D = Sq * T + Sp * 16 (This is because the bus from Q travels for T hours at speed Sq and then for 16 hours at speed Sp to reach P)

We can solve these two equations to find the ratio Sp/Sq, which is the answer to the problem. However, without numerical values for D and T, we cannot find a numerical answer.

This problem has been solved

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