Question
Download Solution PDFA person can walk a certain distance in 15 days when they rest 6 hours a day. How long will they take to walk three times the distance, 1.5 times as fast, and resting twice as long each day?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFOriginal Distance: Let the distance be D.
Original Time: 15 days.
Resting Time: 6 hours per day.
Walking Time per Day: 24 - 6 = 18 hours.
Total walking time in 15 days = 15 × 18 = 270 hours.
Speed = D/270 distance per hour.
New Distance: 3D.
New Speed: 1.5 × D/270 = 1.5D/270 = D/180
New Resting Time: 2 × 6 = 12 hours per day.
New Walking Time per Day: 24 - 12 = 12 hours.
Time required to walk 3D at speed D/180:
Time = 3D / (D/180) = 540 hours.
Number of days required:
Days = 540 / 12 = 45 days.
The person will take 45 days to walk three times the distance, 1.5 times as fast, and resting twice as long each day.
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