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Resting 8 hours per day, Anuj can walk a certain distance in 15 days. How long will he take to walk twice the distance, twice as fast where he rests twice as long each day?
Resting 8 hours per day, Anuj can walk a certain distance in 15 days. How long will he take to walk twice the distance, twice as fast where he rests twice as long each day?
1). 30 days
2). 40 days
3). 50 days
4). 120 days
1 answers
2 vote
Let the distance to be travelled be ‘d’.
⇒ Anuj walks d distance in 15 days while resting 8 hours a day
1 day = 24 hours
Number of hours Anuj walks in a day = 24 – 8 = 16 hours
∴ Time taken to walk d distance = 16 × 15 = 240 hours
∴ Speed = d/240 ----(1)
New distance, d’ = 2d
New speed = 2 × speed = 2d/240 = d/120
Resting hours = 2 × 8 = 16 hours
⇒ Number of working hours in a day = 24 – 16 = 8 hours
Time taken to walk 2d distance = 2d/(d/120) = 240 hours
∴ Number of days to walk distance 2d = 240/8 = 30 days