Answer
$1008\ rpm$
Work Step by Step
The relationship of a gear system is:
(no. of teeth in A)(rpm of A) =(no. of teeth in B)(rpm of B).
Now, we have:
$$
42\times 600=25\times x\Longrightarrow x=\frac{42\times 600 }{25}=1008\ rpm
.$$
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