Question 133572
Add their rates of working
(1st machines rate) + (2nd machines rate) = (rate printing together)
Let the 1st machines rate = {{{r}}}
Let the 2nd machine have the faster rate, {{{2r}}}
{{{r + 2r = 1/3}}}
The {{{1/3}}} means (1 magazine/3 hours) which is the rate printing
together
{{{3r = 1/3}}}
{{{r = 1/9}}}
So, the 1st machine can print 1 magazine in 9 hours
For the 2nd machine,
{{{2r = 2/9}}}
This means (2 magazines/9 hours) or,
(1 magazine)/4.5 hours)
The 2nd  machine can print 1 magazine in 4.5 hours
check answers:
{{{r + 2r = 1/3}}}
{{{1/9 + 2*(1/9) = 1/3}}}
{{{3/9 = 1/3}}}
{{{1/3 = 1/3}}}
OK