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Many years ago, a cruise liner sank in the middle of the Atlantic Ocean. The survivors luckily landed on a remote desert island.
There was enough food for the 135 people to last four weeks.
Nine days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 36 people stranded on the island to now share the original rationed food.
The food obviously had to be rerationed, everyone was now on threequarters of the original ration, so how many days in total would the food last, from the day of the original sinking?
Originally there was enough food for 135 people for 28 days, which totals 3780 rations.
After 9 days, 1215 rations had been eaten.
Therefore there were now 2565 rations left for 171 people, which would last for another 20 days at threequarter rations per person = (2565 ÷ (3 ÷ 4)) / 171.
Which is 29 days in total from the original sinking.
Puzzle 2
I want to travel 1,000 miles on an adult tricycle and I have two spare tyres.
However, I want to use all five tyres equally and have an equal mileage on each of the five tyres by the end of the trip.
Of course I can only use three tyres at a time, so I will have to change tyres during the trip.
At the end of the trip how many miles will each tyre have been used?
[Ref: ZDFX]
Hint: How many tyre miles have been travelled?
Answer: 600 miles.
A total of 1,000 miles have been travelled and at any one time, three tyres are travelling.
Therefore 3,000 tyre miles have been travelled, which is shared equally by the 5 tyres.
Between four o'clock and eight o'clock we have 240 minutes.
In these 240 minutes we have 4 lots of the unknown time (t) and 40 minutes.
Therefore 240 = 4 x t + 40.
Therefore t = 50 minutes.
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