rakman123 wrote:
Water flows into an empty swimming pool at a constant rate of 50 liters per minute. If the pool's total capacity is 120 cubic meters, approximately how manyhours does it take until the pool is filled to 2/3 of its total capacity? (1 liter = 1,000 cubic centimeters)
A) 7
B) 13
C) 27
D) 40
E) 53
Given :
1L = 1000 cubic centimeters
1 meter = 100 cms
1L =\(\frac{ 1000}{100 * 100 *100}\) cubic meters =\(10^{-3}\) cubicmeter
\(\frac{2}{3}\) rd pools capacity =\(\frac{2}{3} * 120 =80\) cubic meter
Rate at which water flows = 50 liters per minute =\( 5010^{-3}\) cubic meter per minute
Time taken to fill 80 cubic meter =\(\frac{ 80 }{ 50 *10^{-3}}\) mintues
Number of hours =\(\frac{ 80 }{ 50 * 10^{-3}*60}\)
=\(\frac{ 80 * 1000}{ 50 *60}\)
=\(\frac{ 40 *2}{3}\)
=\( 40*\frac{ 2}{3}\)
=\( 40*0.66\)
= 26.66 hours\( \approx 27\)hours
OptionC
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Statistics : Posted by gmatophobia • on 28 Jun 2023, 08:03 • Replies 1 • Views 94