# Was the station clock fast or slow, and by how much ?

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Mr. Sharma grumbles about bad time-keeping trains like everybody else. On one particular morning he was justified, though. The train left on time for the one hour journey and it arrived 5 minutes late. However, Mr. Sharma's watch showed it to be 3 minutes early, so he adjusted his watch by putting it forward 3 minutes. His watch kept time during the day, and on the return journey in the evening the train started on time, according to his watch, and arrived on time, according to the station clock.
If the train traveled 25 percent faster on the return journey than it did on the morning journey, was the station clock fast or slow, and by how much ?

posted Jun 12, 2015

## 2 Solutions

x=vt then x=65*v :went
x=vt then x=(v+25*v/100)*T : return
then T=52 minute
Let we suppose Mr sharma watch 17 in the evening then the true watch is 17:05 . After 52 minutes the true watch is 17:57 but the station watch is 18 . then the station watch is fast and it is 3 minute

solution Jun 23, 2015 by anonymous

The station clock is 3 minutes fast. The morning journey took 65 minutes, and the evening journey therefore took 52 minutes, and the train arrived 57 minutes after it should have left, that is, 3 minutes early.

solution Jun 23, 2015

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