To fill a swimming pool two pipes are used. if the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool?

  1. SOLUTION: IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER DIAMETER IS USED FOR 9 HOURS,ONLY HALF OF THE POOL
  2. To fill a swimming pool two pipes are to be used . If the pipe of the larger diameter is used for 4 hours and the pipe of the smaller diameter is used for 9 hours, only half of the pool can be filled. Find how long it would take for each pipe to fill the pool separately , if the pipe of the smaller diameter takes 10 hours more than the pipe of the larger diameter to fill the pool
  3. To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours
  4. To fill a swimming pool two pipes are used. If the pipe of larger diamete..


Download: To fill a swimming pool two pipes are used. if the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool?
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SOLUTION: IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER DIAMETER IS USED FOR 9 HOURS,ONLY HALF OF THE POOL

SOLUTION: IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER DIAMETER IS USED FOR 9 HOURS,ONLY HALF OF THE POOL SOLUTION: IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER DIAMETER IS USED FOR 9 HOURS,ONLY HALF OF THE POOL • IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER DIAMETER IS USED FOR 9 HOURS,ONLY HALF OF THE POOL CAN BE FILLED.HOW LONG WOULD IT TAKE FOR EACH PIPE TO FILL THE POOL SEPERATELY? Answer by [email protected](22714) ( You can IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES. IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER DIAMETER IS USED FOR 9 HOURS, ONLY HALF OF THE POOL CAN BE FILLED. HOW LONG WOULD IT TAKE FOR EACH PIPE TO FILL THE POOL SEPARATELY? : Let a = larger pipe time to fill the pool by itself Let b = smaller pipe time to fill it : Let a full pool = 1 then half full pool = .5 : Write an equation for each statement: ; "It can take 12 hr to fill a swimming pool using 2 pipes" + = 1 : "If the larger pipe is used for 4 hrs and the smaller pipe for 9 hrs, only half the pool will be filled" + = .5 : Use elimination, multiply the above equation by 3, subtract the 1st equation + = 1.5 + = 1 ------------------------------subtraction eliminates a find b = .5 15 = .5b b = 30 hrs for...

To fill a swimming pool two pipes are to be used . If the pipe of the larger diameter is used for 4 hours and the pipe of the smaller diameter is used for 9 hours, only half of the pool can be filled. Find how long it would take for each pipe to fill the pool separately , if the pipe of the smaller diameter takes 10 hours more than the pipe of the larger diameter to fill the pool

To fill a swimming pool two pipes are to be used . If the pipe of the larger diameter is used for 4 hours and the pipe of the smaller diameter is used for 9 hours, only half of the pool can be filled. Find how long it would take for each pipe to fill the pool separately , if the pipe of the smaller diameter takes 10 hours more than the pipe of the larger diameter to fill the pool - Ask TrueMaths! To fill a swimming pool two pipes are to be used . If the pipe of the larger diameter is used for 4 hours and the pipe of the smaller diameter is used for 9 hours, only half of the pool can be filled. Find how long it would take for each pipe to fill the pool separately , if the pipe of the smaller diameter takes 10 hours more than the pipe of the larger diameter to fill the pool Let time taken by the pipe with larger diameter(A) = x hours, And time taken by the pipe with smaller diameter (B)= (x+10) hours, ∴ A’s one hour work = 1/x B’s one hour work = 1/(x+10) Work done by A in 4 hour = 4/x Work done by B in 9 hours = 9/x+10 According to the question 4/x + 9/x+10 = 1/2 After Taking LCM & cross multiplying 2(13x+40) = x² + 10x x² -16x-80 = 0 x² -20x+4x-80=0 x(x-20) +4(x-20)= 0 (x-20)(x+4)= 0 If (x-20)= 0 & (x+4) = 0 ∴ x= 20 & x = -4 Because time taken can’t be negative, ∴ timextime taken by the pipe with larger diameter (x) = 20 hours And time taken by the pipe with smaller diameter (x+10) = 30 hours Related Questions • Please solve this • If twice the area of a smaller square is ...

To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours

To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool? Let the larger diameter pipe fill it in ‘a’ hours The smaller diameter pipe fills it in ‘a + 10’ hours In 1 hour, larger diameter pipe fills 1/a part of the pool. In 1 hour, smaller diameter pipe fills 1/(a + 10) part of the pool. Given, the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. ⇒ 4 × 1/a + 9 × 1/(a+10) = 1/2 ⇒ 2(4a + 40 + 9a) = a 2 + 10a ⇒ 26a + 80 = a 2 + 10a ⇒ a 2 – 16a – 80 = 0 ⇒ a 2 – 20a + 4a – 80 = 0 ⇒ a(a – 20) + 4(a – 20) = 0 ⇒ (a + 4)(a – 20) = 0 ⇒ a = 20 hours Time in which smaller diameter pipe fills the pool = 20 + 10 = 30 hours Categories • • (31.9k) • (8.8k) • (764k) • (248k) • (10.0k) • (5.6k) • (36.3k) • (2.3k) • (2.5k) • (4.1k) • (3.7k) • (2.6k) • (512) • (2.0k) • (876) • (414) • (1.7k) • (3.6k) • (1.9k) • (545) • (370) • (816) • (753) • (256) • (882) • (877) • (1.1k) • (7.5k) • (10.7k) • (11.8k) • (11.2k) • (6.8k) • (4.9k) • (5.3k) • (2.8k) • (19.9k) • (936) • (2.9k) • (5.2k) • (664) • (121k) • (72.1k) • (3.8k) • (19.6k) • (1.4k) • (14.2k) • (12.5k) • (9.3k) • (7.7k) • (3.9k) • (6.7k) • (63.8k) • (26.6k) • (23.7k) • (14.6k) • ...

To fill a swimming pool two pipes are used. If the pipe of larger diamete..

Question asked by Filo student To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool? Views: 5,714 10% on the listed price. He further gives an off-season discount of 5% on the discounted price. However, sales tax at 8% is charged on the remaining price after the two successive discounts. Find: (i) the amount of sales tax a customer has to pay (ii) the total price to be paid by the customer for the computer set. To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool? Updated On Jan 4, 2023 Topic All topics Subject Mathematics Class Class 8 Answer Type Video solution: 1 Upvotes 116 Avg. Video Duration 8 min

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