A little teaser

[RetNav]

Here is a little teaser to exercise the mind.<br />Jill and John race from point x to y and back.<br />Jill goes 20 mph from x to y and back to x.<br />John goes 30 mph from x to y and 10 mph from y back to x.<br />Who arrives at point x first, Jill or John?

 

[oddjob]

Re: A little teaser

uh...John?

 

[bh357]

Re: A little teaser

Jill<br /><br />Say distance x-y is 60 miles, Jill covers each direction in 3 hours, for a round trip time of 6 hours. Jack takes only 2 hours for the first direction, but takes 6 hours for the return trip, for a total of 8 hours.

 

[RetNav]

Re: A little teaser

Looks like the average would be the same, 20 mph, but Jill did it first.

 

[SpinnerBait_Nut]

Re: A little teaser

Originally posted by RetNav:<br />Looks like the average would be the same, 20 mph, but Jill did it first.

Well that would depend now RetNav.

 

[Homerr]

Re: A little teaser

I left these story problems where they belong...<br /><br />Back in school!<br /><br /> <br /><br />H.

 

[RainMan302v8]

Re: A little teaser

Its a bit simpler to look at from a different perspective, dont add the numbers<br /><br />john travels 3 miles for every 2 of Jills on the way out<br /><br />coming back, Jill travels 2 miles for every 1 of johns<br /><br />Jill wins, every time

 

[TwoBallScrewBall]

Re: A little teaser

John's trip back at 10mph will always take as long as jill's entire round trip at 20mph, so when you add john's trip out he always loses.