I asked for 7 feet, 4 inches and my friend brought me 4 feet, 7 inches.
If we label what I asked for as A feet and B inches, which is (12 x A + B) inches, then I actually received B feet and A inches, which is (12 x B + A) inches. Which means that:
(5 ÷ 8) x (12 x A + B) = (12 x B + A)
A = (91 ÷ 52) x B
As B is the number of inches, it can only be between 1 and 12 and must give A as a whole number of feet. B = 4 is the only possible value, which means that A = 7. So I originally asked for 7 feet, 4 inches.
As I was going to St. Ives,
I met a man with seven wives.
Each wife had seven sacks,
Each sack had seven cats,
Each cat had seven kits.
Kits, cats, sacks and wives,
How many were going to St. Ives?
Direct Link: www.brainbashers.com?ZNKT
Hint: Who was going to St. Ives?
Only I was going to St. Ives.
Our local scrap merchant had to travel to the county recycling plant, 60 miles away.
On the way there he could only manage a steady 12mph, fully laden.
On the way back, he could manage a steady 16mph.
He placed 24 gallons of fuel in the tank ready for the round trip, thinking that this would be enough as the wagon managed to travel 8 miles per gallon. Unfortunately, a piece of metal pierced his fuel pipe at the start of the trip and the wagon started to lose 1 gallon of fuel per hour.
Luckily he only lost fuel when moving and he lost no fuel whilst unloading his scrap metal.
The trip was a total of 120 miles, which at 8 miles to the gallon, used 15 gallons.
The outward trip of 60 miles was at 12 mph, which took 5 hours. The return trip was at 16 mph, which took 3.75 hours. Which is a total journey time of 8.75 hours, which meant that 8.75 gallons were lost.
So, 15 gallons were used for the trip, 8.75 gallons were lost, which is a total of 23.75 gallons. So the 24 gallons was enough for the return trip.