First of all, I am wondering why you are making an EPS file from your Quark document instead of a postscript file prior to distilling. Why not try creating a poscript rather than an EPS - it may help.
Secondly, when I read 'monotone' image, I assumed you meant greyscale, but reading the next part of your post, it doesn't appear to be the case. So assuming you have say, an image containing only red, are you saying that the reds look differnt when viewed in Quark compared to viewing it in Acrobat >>When I open my PDF the placed monotone images colour is not correct<<? If so, this isn't really surprising. The way different apps disply colour (even on the same monitor) can be very different and even if you can get them to match on your monitor doesn't mean that they will display the correct colour on another monitor.
I mean, how different are they? Does the red show up as a purple/green/orange or just a slightly different shade of red. If the latter, then just learn to live with it. Colour accuracy on screen is impossible to control - that's why when colour accuracy is important you have to use Pantone colours which can be alomost guaranteed to PRINT correcly in the hands of an experienced operator, but there are no guarantees it will appear correct on screen.