General

Algebra 1 Age,Motion, and Number Problems Help

I have a couple of age,motion, and number problems I have no clue how to do, and I was hoping to get some tips on how to do them. I don't really care about the answers, I just care about the process because I already have the answers and I just need to know how to get them.

1.)Find the product of three consecutive digits if the largest number that can be formed with two of the digits is two more than the sum of three times the average of all the digits and the smallest number that can be formed with two of the digits.

2.)The square of the sum of three consecutive integers is 82 less than the sum of twice the square of the first, three times the square of the second, and four times the square of the third. Find the sum of the three integers.

3.)Given a four-digit palindromic number ( a number that reads the same forward and backward) such that the third digit is one more than twice the fourth digit. If the first digit is moved to the rear of the number, the new number obtained is forty-four less than twice the original number.Find the original number.

4.)On January 1, 7:00 A.M, a snail begins its long and treacherous journey trough the Brady's enormous back yard, pacing itself at 6 inches per hour. Unfortunately, the snail must face the wrath pf the Tiger, who painstakingly picks up the snail and moves it back a half inch after every 10 minutes. In addition, after the snail has moved continuously for 25 minutes, it must rest for 5 minutes before continuing. On what date(Month/Day) and time (Indicate AP/PM) will the snail be 5 feet away from its starting point for the first time?

5.)Mr. Johnson drives a semitrailer truck. On one trip to a city 275 miles from his home, he travels 1/2 hour longer going than he did returning along the same route. How long did it take him to make the return trip if his rate going was 5mph slower than his rate returning?

6.)A motorized rubber duchy traveled 20 feet down the Stream and then returned in a total time of 3 minutes. If the rate of the current is 5 feet per minute, how many minutes did it take for the trip upstream?