Little feet and his gang of dinosaur friends are planning to explore the oasis in the middle of a vast desert. Each dino can only carry food for six days, and the farthest they can travel in a day is 30 miles. The oasis is 120 miles from their hometown. They need to plan how many dino friends should head out to the oasis, in such a way that they get to stay overnight and then return to the village without running out of food.
What is the minimum size of the group
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that can complete this exploration?
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Given : The oasis is 120 miles from their hometown.
can travel in a day is 30 miles
Each dino can carry only food for six days
they get to stay overnight and then return to the village without running out of food.
To Find : minimum size of the group
Solution:
The oasis is 120 miles from their hometown.
can travel in a day is 30 miles
=> 120/30 = 4 days to go
and also 4 days to return
Hence 4 + 4 = 8 days in total
Food 1 can carry for 6 days
minimum number of dino = 8/6 = 4/3 > 1
= 2
and 1 little feet hence total 3
the minimum size of the group including Little feet that can complete this exploration = 1+ 2 = 3
Learn More:
Little feet and his gang of dinosaur
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