Question: i need help on solving this please help! 1) One number is 3 times as large as another. The sum of their reciprocals is 8/3.

i need help on solving this please help!
1) One number is 3 times as large as another. The sum of their reciprocals is 8/3. Find the two numbers.
2) The sum of a number and its reciprocal is
13/16
Find the number.
3) The sum of the reciprocals of two consecutive even integers is 3/4 . Find the integers.
4) A boat travels 14 miles up the river in the same amount of time it takes to travel 34 miles down the same river. If the current is 5 miles per hour, what is the speed of the boat in still water?
5) An airplane flying against the wind travels 280 miles in the same amount of time it would take the sace plane to travel
420 miles with the wind. If the wind speed is a constart 70 miles per hour, how fast would the plane travel in stil air?
6) An inlet pipe can fill a pool in 16 hours, while an outlet pipe can empty it in 24 hours. If both pipes are left open, how long will it take to fill the poo!.
7 A bathtub can be filled by the cold water faucet in 10 micutes and by the hot water fantcet in I5 minutes. How long does it take to fill the tub if both faucets are open?

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