Two Indian swimmers Rishabh and Vaibhav started swimming toward each other from the opposite endpoints (P and Q) of a rectangular pool along the width. They first met at a point 750 m away from point ‘P’. They crossed each other, touched the opposite points, and returned immediately. They met each other again at 450 m from the opposite endpoint ‘Q’. Find the width of the rectangular pool (in m).

The problem can be solved using the concept of relative speed.

Step 1: When Rishabh and Vaibhav first meet, they have covered the entire length of the pool. The distance from P to the meeting point is 750m, so the distance from the meeting point to Q is the total length of the pool minus 750m.

Step 2: After they meet for the first time, they continue to the ends of the pool, touch the ends, and return. When they meet again, they have covered the length of the pool twice. The distance from Q to the second meeting point is 450m, so the distance from the second meeting point to P is the total length of the pool minus 450m.

Step 3: The total distance covered when they meet for the second time is twice the length of the pool, which is equal to the sum of the distances they swam before they met for the first time and the distances they swam after they met for the first time. This can be written as:

2*(Length of pool) = (750m + Distance from meeting point to Q) + (450m + Distance from second meeting point to P)

Step 4: From step 1 and 2, we know that Distance from meeting point to Q = Length of pool - 750m and Distance from second meeting point to P = Length of pool - 450m. Substituting these values in the equation from step 3, we get:

2*(Length of pool) = (750m + Length of pool - 750m) + (450m + Length of pool - 450m)

Solving this equation gives Length of pool = 1200m. So, the width of the rectangular pool is 1200m.

The width of the pool can be found by adding the two distances at which Rishabh and Vaibhav met.

First, they met at a point 750 m away from point P.

Then, they met again at a point 450 m away from point Q.

So, the width of the pool is 750 m + 450 m = 1200 m.

Therefore, the width of the rectangular pool is 1200 m.