*HARD RIDDLE* 10pts for bst ansr?!


Question: Mr. Moody grumbles about bad time-keeping trains from morning till night!.

On one particular morning he was quiet justified.

His train left on time for the one hour journey, to Clarksville, and it arrived 5 minutes late.

However, Mr. Moody '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 travelled 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?


Answers: Mr. Moody grumbles about bad time-keeping trains from morning till night!.

On one particular morning he was quiet justified.

His train left on time for the one hour journey, to Clarksville, and it arrived 5 minutes late.

However, Mr. Moody '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 travelled 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?

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

ok then...im stumped... idk if the train on time or not

It ran neither fast nor slow.

the clocks the same its the trains speed, arrival time thats different

neither?
Maybe there in the mountains?

The station clock is 2 minutes fast.

Did he make it home on time for dinner? that's the real question


:)

beats me

The Station clock was fast by 12:15 sec

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.

wow this 1 is quite hard, shot in the dark is the station clock 3 minutes to fast?

the station clock was 3 minutes fast <3

*the train arrived 3 minutes early

The facts, as stated, cannot all be true.

Assume that the train speed would really take one hour from station to station.

In the morning, the train travelled exactly one hour, but according to the station clock, it arrived 5 minutes late. Therefore, the station clock is 5 minutes faster, EVERY HOUR.

Same manner, Moody's watch showed it to be 3 minutes early, therefore, Mr. Moody's watch is 3 minutes slower, EVERY HOUR.

(Assume correct time is 8:00 am. According to station clock, it arrived 9:05, while Mr. Moody's watch is still 8:57)

Our common definition of MORNING is from 6:00am to 11:59am; and EVENING starts from 6:00pm (in between is the AFTERNOON).

With this definition, there are 6 hours difference between MORNING and EVENING,

After 6 hours, the station clock would now be 30 minutes faster and Mr. Moody's watch would be 18 minutes slower.

Since the train travelled 25% faster on the return journey, the train should take only 45 minutes to complete the trip.

In this scenario, there could be no time wherein the train departed 'on time per Mr. Moody's watch' and arrived 'on time per station clock'.

To answer your question, one thing is sure : the station clock runs faster by 5 minutes every hour.



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