Hi,

Let x represent Karen's study time.  then Jills would be (x+3) and 

Betsy's would be 2[x + (x+3)]

Question states

x + (x+3) + 2[x + (x+3)] = 93

solving for x

x + (x+3) + 2x + 2x +6 = 93

6x + 9 = 93

6x = 84

x = 14hrs, Karen's study time

Jill's 17 hrs (14 + 3)

Betsy's 62 hrs (2*31)

checking our answer

14hr + 17hr + 62hr = 93hr 

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