Word Problem No.10 (Compound Proportion) --- Men, Cycles, and Days (Compound Proportion among three quantities)

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 ｘ then,

Here the equation will be 

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

Or

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

by simplifying we get

ｘ =  400 Cycles.

Thus, the same 400 Cycles will be assembled.