a queston on the back of a matchbox??

an old steam train travels from Aton to Bton at 50mph, but from Bton to Aton at 75mph, as the journey involves a steep gradient. It takes the engine two hours longer to do the uphil journey than it does to return on the downhill stretch.

How far apart are Aton and Bton?

if you want the answer you have to SAE it i can't be bothered - but would like to know. it would settle a little argument


Cheers

Daniel

 

300 miles

50 mph takes 6 hours
75 mph takes 4 hours

 

75mph = 0
50mph = +2hours
25mph= + 4hours
0mph = +6hours

so 6hours @ 50mph
and 4hours @ 75mph

so 300miles

simple maths you spazzos

 

ooooooooooooooh get Carol Voderman above

 

i was wrong anyway?

and i hate maths - one of my mates thought it was a trick question

cheers

Daniel

 

I got 300 too.

Distance=speed x time

we have 2 different equations for the same distance, so can put them equal to each other

50 x (t + 2hrs for slower journey) = 75 x t

50t + 100 = 75t

100 = 25t

So time for journey at 75mph is 4 hrs

75mph x 4hrs = 300 miles.