Party time
4 members of a family decide to go to a party. The location is at a certain distance from there house. It starts raining when they depart.
They have only one umbrella with them that can accommodate 2 of the family members at a time. So they decide to go there in of sets of 2 with one of them returning to take others to the place.
The 4 members A, B, C and D take 1, 2 , 5, and 10 minutes respectively to reach there.
Calculate the minimum time taken by all the family members to reach there.
Note: They can follow any sequence while going to the party.
The answer is 17.
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1 solution
Firstly A and B go together. Time taken =2 minutes
A returns. Time taken=1 minutes.
C and D go together. Time taken =10 minutes.
B returns. Time taken =2 minutes.
A and B go together. Time taken =2 minutes.
Therefore, total time taken by all family members is 17 minutes.