Compound Proportion among three quantities Men, Cycles, and Days (WP No.10: Compound Proportion)

Ten men can assemble 400 cycles in 8 days. How many cycles 5 men will assemble if they work for 16 days?


Solution: 


As the men decrease, the less cycles will be assembled. so, It is a direct proportion. 
As the number of days increase, more cycles will be assembled. It is also a direct proportion. 
Let the cycles assembled be ï½˜ then,


Here the equation will be 

`\frac{x}{400}`  = `\frac{5}{10}` ï½˜ `\frac{16}{8}` 

Or

x = `\frac{5}{10}` ï½˜ `\frac{16}{8}`     ï½˜ 400 Cycles


by simplifying we get

x =  400 Cycles.

Thus, the same 400 Cycles will be assembled.




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