Q162 of 196 Page 249

Neha needs to stretch some sticks to 252 times their original lengths, but her ( × 25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a ( × 252) machine. To get started, think about the hook up you could use to replace the ( × 25) machine.

Let W1 be the work done by firstmachine.


Let W2 be the work done by second machine.


Work done by both the machines is Wt = W1xW2


Wt = 252 = 625


625 = 5x5x5x5 = 52x52


W1xW2 = 52x52


W1 = W2 = 52


Therefore, Neha can use a hook-up of two (x52) machines.


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If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use ( × 1) machines.