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W _ T _ R Clue
JIM AND WANDA HAVE 7 AND 5 APPLES RESPECTIVELY. TO SOLVE USING MATHS, LET J AND W BE THE NUMBER OF APPLES OF JIM AND WANDA RESPECTIVELY. IF JIM GIVES WANDA AN APPLE, THEY WILL BOTH HAVE THE SAME NUMBER OF APPLES: W + 1 = J - 1 IF WANDA GIVES JIM AN APPLE, JIM WILL HAVE TWICE AS MANY AS WANDA: 2(W - 1) = J + 1 SOLVING THE EQUATIONS WILL GIVE J=7 AND W=5 45 MINUTES. METHOD 1 LET US TALK ABOUT 24 HOURS AS IT WILL SIMPLIFY THE PROBLEM. IN 24 HOURS: THE COLD TAP WILL BE ABLE TO FILL THE BATHTUB 80 TIMES. THE HOT TAP WILL BE ABLE TO FILL THE BATHTUB 96 TIMES. THE DRAIN WILL BE ABLE TO DRAIN THE BATHTUB 144 TIMES. THUS IN 24 HOURS, THE BATHTUB WILL BE FILLED 80 + 96 - 144 = 32 TIMES (IF BOTH TAPS ARE TURNED ON WITH THE PLUG LEFT OUT) THUS IT WILL TAKE 45 MINUTES TO FILL THE TUB ONCE. METHOD 2 THE BATHTUB FILLING RATE IS: THE COLD TAP WILL FILL THE BATHTUB AT 1/18 TUB/MINUTE THE HOT TAP WILL FILL THE BATHTUB AT 1/15 TUB/MINUTE THE DRAIN WILL DRAIN THE BATHTUB AT 1/10 TUB/MINUTE THE NETT BATHTUB FILL RATE IS: 1/18 + 1/15 - 1/10 = 1/45 TUB/MINUTE THE WATER WILL FILL 1/45 OF THE TUB IN 1 MINUTE, SO THE TUB WILL BE FULL IN 45 MINUTES A TOTAL OF NINE COINS ARE NEEDED: FOUR (1¢) PENNIES, ONE (5¢) NICKEL, TWO (10¢) DIMES, ONE (25¢) QUARTER AND ONE (50¢) HALF-DOLLAR FILL UP THE THREE-GALLON JUG AND POUR IT INTO THE FIVE-GALLON JUG. DO IT AGAIN AND THERE WILL BE ONE GALLON LEFT IN THE THREE-GALLON JUG. EMPTY THE FIVE-GALLON JUG AND POUR IN THE ONE GALLON OF WATER FROM THE THREE-GALLON JUG. FILL THE THREE-GALLON JUG WITH WATER AGAIN AND POUR IT INTO THE FIVE-GALLON JUG. THE FIVE-GALLON JUG SHOULD NOW CONTAIN 4 GALLONS OF WATER