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Question

An empty tank measuring 54 cm by 40 cm by 22 cm is to be filled with water from Tap A and Tap B. Tap A fills it with water at 320 ml per minute and Tap B fills it with water at 160 ml per minute. How long does it take to fill the tank completely if Tap B if turned on for 270 seconds before Tap A is turned on?

Answer

54 x 40 x 22 = 47520
(270/60) = 4.5
4.5 x 160 = 720
47520 – 720 = 46800
320 + 160 = 480
46800/480 = 97.5
97.5 + 4.5 = 102

Ans : 102 min.

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This is a Quantity Each Product. 

270 ÷ 60 = 4.5 minutes

    Quantity   Each  Product 
4.5 160 720
A+B 1u 480 480u
Total  1u + 4.5   480u + 720

480u + 720 = 54 ×40 × 22

480u = 47520 – 720 = 46800

1u  = 46800 ÷ 480 = 97.5

97.5 + 4.5 = 102 minutes

 

 

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