Originally Posted by jhan523

Ugh, I can't do math at this time >.<

lol

*continues to play Jeopardy! music*

Originally Posted by Joseph

Fast train to Clarksville!

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 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?

Okay, so when the first train arrives, he fixes his watch by setting it forward 3 mins, but it's still running five minutes behind.

Now, train #2 starts on time, let's say 5:00, but this is according to his watch, so really the train started 5 minutes late, so 5:05.

Now the train travelled 25% faster. So that's: 65 minutes/1.25 = 52 minutes.

This means the train arrives at 5:57. But the station shows it arriving on time, which means that it should have arrived at 6:05. So the station clock is fast by 8 minutes. *fingers crossed*

I get the rest, just not the 65/1.25.

Originally Posted by goodnews.inc

I get the rest, just not the 65/1.25.

Since it's going 25% faster, you divide the 65 minute original travel time by 1.25 (representing 125%)

Just as I was about to type *edit: I got it now, I saw that

Originally Posted by PTGregD

Okay, so when the first train arrives, he fixes his watch by setting it forward 3 mins, but it's still running five minutes behind.

Now, train #2 starts on time, let's say 5:00, but this is according to his watch, so really the train started 5 minutes late, so 5:05.

Now the train travelled 25% faster. So that's: 65 minutes/1.25 = 52 minutes.

This means the train arrives at 5:57. But the station shows it arriving on time, which means that it should have arrived at 6:05. So the station clock is fast by 8 minutes. *fingers crossed*

I'm shocked! You got it wrong this time.

Originally Posted by Joseph

I'm shocked! You got it wrong this time. :(

Is it fast by three minutes then?

Originally Posted by PTGregD

Is it fast by three minutes then?

Yes.

Okay, so when the first train arrives, he fixes his watch by setting it forward 3 mins, but it's still running five minutes behind.

Now, train #2 starts on time, let's say 5:00, but this is according to his watch, so really the train started 5 minutes *behind?, so 4:55.

Now the train travelled 25% faster. So that's: 65 minutes/1.25 = 52 minutes.

This means the train arrives at 5:47. But the station shows it arriving on time, which means that it should have arrived at 6:00. So the station clock is fast by 13 minutes. *fingers crossed*

Edit; screw that

Originally Posted by Joseph

Yes.

Yeah, I was tossing between the two answers and settled with the wrong one I guess. :(

Could somebody explain the 3 minutes please?

Originally Posted by goodnews.inc

Could somebody explain the 3 minutes please?

I originally had that the station would have the time of 6:05 (an hour after 5:05 when the train left). But it should have been 6:00 (an hour after the original departure time of 5:00), so it's only three minutes fast instead of eight.

How are we using Moody's watch as a standard if it's wrong too?

Originally Posted by goodnews.inc

How are we using Moody's watch as a standard if it's wrong too?

All that's wrong with his watch is that it's five minutes behind real time. So you just need to adjust for that.

The Grandmothers


Two grandmothers, with their two granddaughters,
Two husbands, with their two wives,
Two fathers, with their two daughters,
Two mothers, with their two sons,
Two maidens, with their two mothers,
Two sisters, with their two brothers,
Yet only six in all lie buried here,
All born legitimate, from incest clear.

Explain how this may be.