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Sagot :
Katherine, this is the solution to the problem:
Time of the trip = 11 hours and 40 minutes
Time Ms. Sweeney slept = 4 hours and 20 minutes
Step 1: Let's convert the times given to minutes only, this way:
11 hours and 40 minutes = 11 * 60 + 40 = 660 + 40
11 hours and 40 minutes = 700 minutes
4 hours and 20 minutes = 4 * 60 + 20 = 240 + 20
4 hours and 20 minutes = 260 minutes
Step 2: Let's calculate the fraction of the time Ms. Sweeney was awake
Time she was sleeping = 260/700
Time she was awake = 700 - 260/700 = 440/700
Simplifying, we have:
440/700
Dividing by 100:
44/70
Dividing by 2:
22/35
Ms. Sweeney was awake 22/35 of the time.
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