I travelled from London to Glasgow last week at 60 miles per hour, I had filled my petrol tank just before I left, and it was full to the brim (25 gallons).
Unfortunately, my petrol tank sprang a leak immediately, and I only managed to drive 300 miles before I ran out of petrol.
My car does 30 miles per gallon, how fast was I losing petrol through the hole?
Hint
How much petrol was used for the journey itself?
Answer
3 gallons each hour.
Reasoning
I drove 300 miles at 30 miles per gallon, so I used 10 gallons. Which means I lost the other 15 gallons.
I drove the 300 miles at 60mph, which took me 5 hours.
So I lost 15 gallons of petrol in 5 hours = 3 gallons per hour.
??
Puzzle 6
Place JANUARY, FEBRUARY, MARCH, APRIL, MAY, JUNE, JULY, AUGUST, SEPTEMBER, OCTOBER, NOVEMBER, DECEMBER, into the grid. The sequence will snake around, but cannot go diagonally, nor cross itself.
At the recent interdepartmental jam making contest, four lucky candidates took part to make the juiciest strawberry jam.
As it happens, the person who came last was the oldest. Glen was three years older than the person who came second. Drew was neither the oldest nor the youngest. Emery finished ahead of the 27-year-old, but didn't win. Alex was also unlucky this time, and didn't win either.
The ages of the contestants were 24, 27, 30 and 32.
Can you work out who finished where, and how old they were?
Answer # Name Age
1 Drew 30
2 Emery 24
3 Glen 27
4 Alex 32
Reasoning
By (2), because Glen was three years older, the person in 2nd place was either 24 or 27.
But 2nd place can't have been 27, because, by (4), Emery was ahead, but didn't win.
So 2nd place was 24, and Glen was 27.
By (3), Drew could only be 27 or 30, but we now know what Glen was 27, so Drew was 30.
By (1), the person who came last was 32:
1
2 24
3
4 32
By (4), the 27-year-old can't have won,
1 Drew 30
2 24
3 Glen 27
4 32
By (4), Emery beat the 27-year-old:
1 Drew 30
2 Emery 24
3 Glen 27
4 32
Leaving Alex in last place.
1 Drew 30
2 Emery 24
3 Glen 27
4 Alex 32
??
Puzzle 8
My local bus company has recently expanded and no longer has enough room inside its garage for all of its buses.
Twelve of their buses have to be stored outside.
If they decide to increase their garage space by 40% they will have enough room for all of their current buses, plus enough room to store another twelve in the future.
