CAT 1 Question 11 Equal pay for Equal work

[cooley.matthew]

Alan’s regular hourly wage is 1.5 times Barney’s regular hourly wage, but Barney gets paid at twice his regular wage for any hours he works on Saturday. Both men work an integer number of hours on any given day. If Alan and Barney each worked for the same total non-zero number of hours last week, and earned the same total in wages, which of the following must be true?

I. Alan worked fewer hours Monday through Friday than did Barney.
II. Barney worked at least one hour on Saturday.
III. Barney made more money on Saturday than did Alan.

I only

II only

I and II only

I and III only

II and III only

I would just like to see the equation written out, so I can visualize the problem. I am having trouble conceptualizing the problem. I understand the a=1.5b but I would like to see how the second part is written when they have equal hours and equal pay. Thanks,

ps: is there any way you can sticky questions from each CAT together. Perhaps thread the answers to each question on each CAT, making access easier so the question can not only opened it up to discussion but moderators would not have to answer the same question twice. :D thanks for the help and keep up the great job!

[jnelson0612]

matthew,
Take a look at the discussion on this link: alan-barney-hourly-wage-t8935.html

Please post again if you need further assistance.

Thank you,