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M _ N _ T _ S Clue
IF 8 MONKEYS TAKE 8 MINUTES TO EAT 8 BANANAS, THEN 1 MONKEY TAKES 8 MINUTES TO EAT 1 BANANA. SO 3 MONKEYS WILL TAKE 8 MINUTES TO EAT 3 BANANAS. 1 MONKEY CAN EAT 1 BANANA IN 8 MINUTES, SO 1 MONKEY CAN EAT 6 BANANAS IN 48 (8 X 6) MINUTES. THEREFORE, 8 MONKEYS CAN EAT 48 BANANAS IN 48 MINUTES 9 TEENAGERS CAN EAT 18 PIZZAS IN 3 DAYS. 1 TEENAGER CAN EAT 1 PIZZA IN 1.5 DAYS. 1 TEENAGER CAN EAT 2 PIZZAS IN 3 DAYS. 9 TEENAGERS CAN EAT 18 PIZZAS IN 3 DAYS IT WILL TAKE 10.5 SECONDS FOR THE CLOCK TO STRIKE 10. WHILE STRIKING 7, THE CLOCK STRIKES THE FIRST GONG AT 7 O'CLOCK AND IT STRIKES 6 MORE AT REGULAR INTERVALS. THESE 6 INTERVALS TAKE 7 SECONDS, SO THE INTERVAL BETWEEN GONGS IS 7⁄6 SECONDS. HOWEVER TO STRIKE 10, THERE ARE 9 INTERVALS EACH TAKING 7⁄6 SECONDS. THIS ADDS UP TO A TOTAL OF (9 X 7⁄6) 10.5 SECONDS 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