Explanations & Calculations
- When 32 bins are set up around the carousel, you can see there exist altogether 32 gaps\archs around it.
- This happens due to the shape of the carousel being a circle.
- This is the key point you need to figure out to work out this sum then the rest is easy.
- The circumference of the carousel is
C=2πr=π(2r)=πd=π×135m=424.12m
- Then the length of one arch is
L=32C=32424.12m=13.25m
- Then for the latter part, we can rely on ratios.
- s mentioned, a single bin takes 30 minutes to complete a round, then let's take it travels some x distance over 10 minutes.
- Then the ratios be like
30C=10x
- Then we can simply get the required answer.
x=10×30424.12=141.37m
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