Final exan Problem 2. [10 points] There is no clock in my kitchen. However The faucet drips every 54 seconds after i shut off the water The toaster pops out toast every 87 seconds after I plug it in I'd like to fry an egg for exactly 141 seconds. My plan is to plug in the toaster and shut off the faucet at the same instant I'll start kxP-tn tme. What values of D and Pmake and stop frying when the toaster pops for theng when the faucet drips for the D-th time this plan work? D P Reminder: Calculators are not allowed Solution. The Pulverizer gives 5-87-854=3. Multiplying by 47 gives 235·87-376·54=141 →235.87=141+376·54 Thus, I'll start frying after at drip D=376 and stop 141 seconds later at pop P=87Final Exam 3 Problem 2. [10 points] There is no clock in my kitchen. However: • The faucet drips every 54 seconds after I shut off the water. • The toaster pops out toast every 87 seconds after I plug it in. I’d like to fry an egg for exactly 141 seconds. My plan is to plug in the toaster and shut off the faucet at the same instant. I’ll start frying when the faucet drips for the D­th time and stop frying when the toaster pops for the P­th time. What values of D and P make this plan work? D = P = Reminder: Calculators are not allowed. Solution. The Pulverizer gives 5 · 87 − 8 · 54 = 3. Multiplying by 47 gives: 235 · 87 − 376 · 54 = 141 ⇒ 235 · 87 = 141 + 376 · 54 Thus, I’ll start frying after at drip D = 376 and stop 141 seconds later at pop P = 87