Mr. Greenwich and his wife were shopping when they decided to go their separate

Question

Mr. Greenwich and his wife were shopping when they decided to go their separate ways to speed things up. They agreed to meet at the bank at 2:00 p.m. Mr. Greenwich realized several minutes later that he had forgotten his watch. He asked a lady walking by for the correct time. Her watch was five minutes fast, but she thought it was ten minutes slow. Mrs. Greenwich had also forgotten her watch so she asked a gentleman passing by for the correct time. The man's watch was ten minutes slow, but he thought it was 15 fast. Taking into account the errors in the watches, who was at the bank first and at what time did they arrive?

Explanation / Answer

Mr. Greenwich asked a lady for time and her watch was 5 minutes fast but she thorught it was ten minutes slow, so she must have told Mr. Greenwich a time that was (5 - (-10)) = 15 minutes ahead of the actual time. So Mr. Greenwich must have reached the bank 15 minutes in advance at 1:45 pm

Mrs.Greenwih asked a gentleman for time and his watch was 10 minutes slow but he thought it was 15 mintues fast, so he must have told Mrs. Greenwich a time that was (10-(-15)) = 25 minutes behind usual time. So, Mrs. Greenwich musst have reached the bank 25 minutes after 2pm at 2:25 pm

Thus Mr. Greenwich arrived at the bank first at 1:45 pm;

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