Multiple choice

Passage

Directions: Read the data given below carefully and answer the question. The data shows the volume and dimensions (length, breadth, and height) of four cuboidal tanks: A, B, C, and D. The data also depicts the time taken to fill or empty the tanks by inlet pipes X, Y, and the outlet pipe Z. 1. The breadth of tank D is 14 m. Tank Data: Tank Volume (m³) Dimensions: L × B × H (m) Time taken by pipe X to fill (hours) Ratio of time taken by pipe Y to fill and pipe Z to empty A 3,600 20 × 15 × ---- 10 2 : 3 B ----- 25 × 12 × 12 3 : 2 C 4,500 ---- × 6 × 15 18 1 : 4 D 16,800 14 × ---- × ---- ----- 3 : 5

When all three pipes were opened simultaneously, the volume of tank D filled in 1 hour was 5,600 cubic metres. Pipe Y alone can fill 25% of tank D in 5.25 hours. In how much time can pipe X fill 33% of tank D alone?

  1. 1.05 hours

  2. 2.05 hours

  3. 3.19 hours

  4. 3.62 hours

  5. 3.82 hours
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Tank D volume = 16800. Pipe Y fills 25% (4200) in 5.25 hours, so rate Y = 800 m^3/hr. Ratio Y:Z = 3:5, so rate Z = 800 * (5/3) = 4000/3 m^3/hr. Total rate (X+Y-Z) = 5600 m^3/hr. X + 800 - 4000/3 = 5600. X = 4800 + 1333.33 = 6133.33. 33% of 16800 = 5544. Time = 5544 / 6133.33 = 0.904 hours. The option 1.05 is the closest.

Keep practicing — related questions