Please show the final answers in algebraic form, define all variables, and show all work.

1] Ms. Marshall can grade a set of papers in 30 minutes. Mrs. Fieich can grade the same set of papers in 2 hours. How many minutes will it take them to grade one set of papers when working together? 2'] Ayeny kayaks 9 mph in still water. She decides to go on an adventure and kayak down the Delaware River for 3 miles. She returns to her starting point 2 hours later. How fast is the current in the Delaware River? 3] Ethan meets his friend Brayden to bike to school every day. Ethan bikes 3 miles to Brayclen's house before they continue the extra 1 mile to school. Brayden bikes 3 mph slower than Ethan, so they ride at Brayden's speed the rest of the way. It takes Ethan a total of 3|] minutes to get to school. How fast do Brayden and Ethan ride? 4] Caitlin and Carl are going to paint their kitchen. Normally, Carl can paint the kitchen 3 hours faster than Caitlin. U nfortunately, Caitlin needs to go to work for a little bit so Carl gets a head start and works alone for 2 hours. Once Caitlin gets home, they nish the job together in 4 more hours. How long would it have taken Carl to paint the kitchen himself? 5] The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator while 3 is subtracted from the denominator, the resulting fraction is equiyalent to 3J2. Find the numerator and denominator of the original fraction