1. Convert mph to feet per second:

* There are 5280 feet in a mile.

* There are 3600 seconds in an hour.

* So, 1.7 mph is equal to (1.7 miles/hour) * (5280 feet/mile) / (3600 seconds/hour) = 2.5067 feet per second.

2. Calculate the time:

* Time = Distance / Speed

* Time = 556 feet / 2.5067 feet/second = 221.8 seconds

3. Convert seconds to minutes and seconds:

* 221.8 seconds is equal to 3 minutes and 41.8 seconds (approximately).

Therefore, the man will travel 556 feet in approximately 3 minutes and 41.8 seconds at a speed of 1.7 mph.