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See Answer

ANSWER: 4 times.

EXPLANATION: Drop the egg in the boiling water and flip both hourglasses over. When the 4-minute hourglass runs out, flip it over. There is one minute left in the 5-minute hourglass. When the 5-minute hourglass runs out, there are 3 minutes left in the 4-minute hourglass. Flip the 4-minute hourglass over again. Now there is one minute left in the 4-minute hourglass and 5 minutes have elapsed. A minute later the 4-minute hourglass will run out and a total of 6 minutes will have elapsed.

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