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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. QED.
In 24 hours:
the cold tap could fill 80 baths
the hot tap could fill 96 baths
the plug could drain 144 baths
Therefore, in 24 hours, we have 80 + 96  144 baths full = 32 baths.
Therefore each bath would take 45 minutes to fill.
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