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Sunday, October 22 2017 @ 05:41 PM CDT
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By: T0116060A (offline)  Saturday, August 17 2013 @ 09:11 PM CDT (Read 835 times)  
T0116060A

I don't know this question. Can you help me to solve this question with clear explanation?

Q 1) Tank X measuring 50 cm long, 24 cm wide and 60 cm high was completely filled with water. Tank Y measuring 75 cm long, 24 cm wide and 40 cm high was empty. When water was poured from Tank X to Tank Y without spilling, the heights of the water level in the 2 tanks became the same. Find the amount of water that was poured from Tank X to Tank Y.

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By: echeewh (offline)  Saturday, August 17 2013 @ 10:08 PM CDT  
echeewh

Hey <T0116060A>

This question is <Rosyth 2012 Prelim Q10>.

Following is my worked solution :

Vol of water (X) = 50 × 24 × 60 = 72000 cm3

Let the equal heights of waterlevel in X, Y be h cm.

Vol of water (X) + Vol of water (Y) = 72000 cm3
(50 × 24 x h) + (75 × 24 × h) = 72000
1200 h + 1800 h = 72000
3000 h = 72000
h = 24 cm

Vol of water (Y) = 1800 × 24 = 43200 cm3

Amt (vol) of water poured into Y was 43200 cm3

========

Trust this helps.

Do let me know again if there's further clarifications.

Cheers,
Edward

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