Robert reads the Mahabharatham at an average rate of 45 pages per hour, while Tony reads it at an average rate of 60 pages per hour. If Robert starts reading the Mahabharatham at 5:00, and Tony begins reading an identical copy of the same book at 6:20, at what time will they be reading the same page?

Step 1: Determine how many pages Robert has read by the time Tony starts reading.

Robert starts reading at 5:00 and Tony starts reading at 6:20. This means Robert has been reading for 1 hour and 20 minutes, or 1.33 hours, before Tony starts reading.

Robert reads at a rate of 45 pages per hour, so in 1.33 hours, he has read 45 * 1.33 = 59.85 pages. We can round this up to 60 pages because you can't read a fraction of a page.

Step 2: Determine how many pages they read together per hour.

Robert reads 45 pages per hour and Tony reads 60 pages per hour. So together, they read 45 + 60 = 105 pages per hour.

Step 3: Determine how long it takes for them to read the same number of pages.

Robert has a 60-page head start, so we need to figure out how long it takes for Tony to catch up. Since they read 105 pages together per hour, and Tony needs to make up a 60-page deficit, it will take him 60 / 105 = 0.57 hours to catch up.

Step 4: Convert this time to minutes.

0.57 hours is approximately 34 minutes (0.57 * 60).

Step 5: Determine the time they will be on the same page.

Tony started reading at 6:20, so after 34 minutes, it will be 6:54. Therefore, Robert and Tony will be reading the same page at 6:54.

Step 1: Determine how many pages Robert has read by the time Tony starts reading.

Robert starts reading at 5:00 and Tony starts reading at 6:20. This means Robert has been reading for 1 hour and 20 minutes, or 1.33 hours, before Tony starts reading.

Robert reads at a rate of 45 pages per hour, so in 1.33 hours, he has read 45 * 1.33 = 59.85 pages. We can round this up to 60 pages because you can't read a fraction of a page.

Step 2: Determine how long it will take for Tony to catch up to Robert.

Now that Tony has started reading, he is reading at a faster rate than Robert. Tony reads 60 pages per hour and Robert reads 45 pages per hour, so Tony is reading 15 pages more per hour than Robert.

We know that Robert is 60 pages ahead of Tony, so to find out how long it will take Tony to catch up to Robert, we divide the number of pages Robert is ahead by the number of extra pages Tony reads per hour. This gives us 60 / 15 = 4 hours.

Step 3: Determine what time it will be when Tony catches up to Robert.

Tony started reading at 6:20, and it will take him 4 hours to catch up to Robert. This means Tony will catch up to Robert at 6:20 + 4 hours = 10:20.