Cross Bridge Puzzle

There are Four(4) Women who want to cross a bridge.

They all begin on the same side.

You have 17 minutes to get all of them across to the other side.

It is night. There is one flashlight.

A maximum of two people can cross at one time.

Any party who crosses, either 1 or 2 people, must have the flashlight with them. The flashlight must be walked back and forth, it cannot be thrown, etc.

Each woman walks at a different speed.

A pair must walk together at the rate of the slower woman's pace.

Woman 1: 1 minute to cross

Woman 2: 2 minutes to cross

Woman 3: 5 minutes to cross

Woman 4: 10 minutes to cross

For example, if Woman 1 and Woman 4 walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Woman 4 then returns with the flashlight, a total of 20 minutes have passed and you have failed the mission.

What is the order required to get all women across in 17 minutes? Now, what's the Other Way?

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Answer:

Woman 1 and Woman 2 go and Woman 1 comes back.
Total Time Taken= 3 Minutes.

Then, Woman 3 and Woman 4 go and Woman 2 comes back.
Total Time Taken= 12 Minutes.

Lastly Woman 1 and Woman 2 go.
Total Time Taken= 2 Minutes.

Grand Total Time Taken to Cross a Bridge= 3+12+2= 17 Minutes.