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True or False
Exams
2
Q:
| A) Quantity 1 > Quantity 2 | B) Quantity 1 ≥ Quantity 2 |
| C) Quantity 1 < Quantity 2 | D) Quantity 1 ≤ Quantity 2 |
Answer: A) Quantity 1 > Quantity 2
Explanation:
Explanation:
Quantity 1:
Let the first pipe alone takes x hours to fill the
tank.
⇒The second and third pipes will take (x-5) and
(x-9) hours respectively.
According to the given information:
∴
⇒ (x-9)(2x-5) = x2 – 5x
⇒ 2x2 – 5x – 18x + 45 = x2 – 5x
⇒ x
2 -18x + 45 = 0
⇒ (x-15) (x-3) = 0
⇒ x = 15, 3
The first pipe can take 15 hours to fill the kund.
∵ 3 hours doesn’t satisfy the statement.
Quantity 2:
∴ Time taken by second pipe = x-5
⇒ Time taken by second pipe = 15-5 = 10hours
∴ Time taken by third pipe = x -9
⇒ Time taken by third pipe = 15- 9 = 6 hours
Now,
Net part filled in 1 hour =
⇒ Net part filled in 1 hour =
⇒Net part filled in 1 hour =
∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously
Now, comparing
15 > 3
Thus, Quantity 1 > quantity 2