SOLUTION: Ann, Bob, Cal, and Don all worked out on the treadmill. Their times (in no particular order) were 16, 18, 23, and 25 minutes. Cal worked out two minutes more than Bob. Don worked o

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Question 252233: Ann, Bob, Cal, and Don all worked out on the treadmill. Their times (in no particular order) were 16, 18, 23, and 25 minutes. Cal worked out two minutes more than Bob. Don worked out fewer minutes than Ann but more minutes than Cal.
Who worked out 25 minutes?
A. Ann B. Bob C. Cal D. Don E. not enough information given
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Ann, Bob, Cal, and Don all worked out on the treadmill. Their times (in no particular order) were 16, 18, 23, and 25 minutes. Cal worked out two minutes more than Bob. Don worked out fewer minutes than Ann but more minutes than Cal.
Who worked out 25 minutes? 

Let each person's initial stand for the number of 
minutes that person worked out.

C = B + 2
D < A
D > C

The only possibilities for C = B+2 are:

A=16, B=23, C=25, D=18, doesn't work because D not < A
A=18, B=23, C=25, D=16, doesn't work because D not > C
A=23, B=16, C=18, D=25, doesn't work because D not < A
A=25, B=16, C=18, D=23, works!

So,
Ann worked out 25 minutes,            
Bob worked out 16 minutes,
Cal worked out 18 minutes,
Don worked out 23 minutes.

Edwin

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Ann, Bob, Cal, and Don all worked out on the treadmill. Their times (in no particular order) were 16, 18, 23, and 25 minutes. Cal worked out two minutes more than Bob. Don worked out fewer minutes than Ann but more minutes than Cal.
Who worked out 25 minutes?
A. Ann B. Bob C. Cal D. Don E. not enough information given

Since Cal worked out 2 more minutes than Bob, then Cal must have worked out for either 18 or 25 minutes, since these 2 times are 2 minutes more than 16, and 23 minutes, respectively.

Now, since Ann worked out more minutes than Cal, then Cal must have worked out the lesser of these 2 amounts, which is 18.

So, now we know that Cal worked out for 18 minutes, while Bob worked out for 16 minutes. This leaves 23 and 25 minutes.

Since Don worked out fewer minutes than Ann, then Don must have worked out for 23 minutes while highlight_green%28Ann_worked_out_for_25_minutes%29.