Maths Puzzle - 3 hikers stranded by a lake.

What is the maximum distance a single hiker can travel alone with 10 liters of water?

• 120 kilometers

• 100 kilometers

• 160 kilometers

• 80 kilometers

Why can't the initial solution of a single hiker traveling alone work?

• The hiker walks too slowly.

• The distance to the phone is too far for one hiker alone.

• The hiker can only carry 5 liters of water.

• The hiker consumes too much water per kilometer.

What is the key idea behind the collaborative strategy for the hikers?

• Hikers walk at different speeds.

• Hikers share water and one hiker returns to refill.

• Each hiker carries two bags of water.

• Hikers take turns resting along the path.

In the collaborative strategy, what is the role of the first hiker?

• To walk ahead and find the shortest path.

• To supply water to the other two hikers initially.

• To carry extra water for the others.

• To stay at the lake and wait for help.

What is the purpose of the time constraint in the mathematical breakdown?

• To ensure the hikers walk at the same speed.

• To verify the first hiker can meet the second hiker in time.

• To calculate the total water consumption.

• To determine the fastest route to the phone.

How is the distance Y1 defined in the problem?

• The distance the first hiker travels alone.

• The distance the second hiker travels alone.

• The total distance to the phone.

• The distance where the first and second hikers meet again.

What is the maximum distance the third hiker can travel according to the solution?

• 165 kilometers

• 150 kilometers

• 155 kilometers

• 161.11 kilometers

What does the solution confirm about the third hiker's journey?

• He will run out of water before reaching the phone.

• He needs to return to the lake.

• He cannot reach the phone.

• He can reach the phone with some water left.

What is the significance of the value 33.33 kilometers in the solution?

• It is the distance the first hiker travels alone.

• It is the distance the second hiker travels alone.

• It is the distance where the first and second hikers meet again.

• It is the total distance to the phone.

What does the time constraint calculation verify?

• The hikers' speed is too slow.

• The first hiker can meet the second hiker in time.

• The water consumption is too high.

• The third hiker cannot reach the phone.