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27 Nov 2022, 08:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
64% (02:30) correct
36%
(02:20)
wrong
based on 173
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Pumps A ,B ,and C pump water at their respective constant rates. Working simultaneously, A and B can fill an empty pool in 6 hours. Working simultaneously, B and C can fill the empty pool in 5 hours. Working simultaneously, A and C can fill the empty pool in 4 hours. Working simultaneously, A ,B , and C can fill the empty pool in approximately how many hours?
A. 1.2
B. 1.6
C. 2.4
D. 3.2
E. 7.5
A. 1.2
B. 1.6
C. 2.4
D. 3.2
E. 7.5
27 Nov 2022, 08:58
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Let total capacity of pool be 120 U. A, B and C be the respective rates of filling of A,B, and C.
A and B can fill an empty pool in 6 hours.
A+B (fill)= 120/6= 20 U/hour. (1)
B+C (empty)= 120/5= 24 U/hour. (2)
A+C (fill)= 120/4= 30 U/hour. (3)
Add (1)&(2) and subtract (3)
2A+B+C-B-C= 20+30-24= 26 U/hour
A= 26/2= 13 U/hour
B= 20-13= 7 U/hour
C= 30-13= 17U/hour
In hour, 13+7+17= 37 units out of 120 units are filled.
Total time taken to fill an empty pool= 129/37= 3.2 hour.
Option D is the answer
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A and B can fill an empty pool in 6 hours.
A+B (fill)= 120/6= 20 U/hour. (1)
B+C (empty)= 120/5= 24 U/hour. (2)
A+C (fill)= 120/4= 30 U/hour. (3)
Add (1)&(2) and subtract (3)
2A+B+C-B-C= 20+30-24= 26 U/hour
A= 26/2= 13 U/hour
B= 20-13= 7 U/hour
C= 30-13= 17U/hour
In hour, 13+7+17= 37 units out of 120 units are filled.
Total time taken to fill an empty pool= 129/37= 3.2 hour.
Option D is the answer
Posted from my mobile device
17 Sep 2023, 04:10
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divyadna
HEY THERE! CAN YOU EXPLAIN WHY DID YOU CHOOSE 120 U AS TOTAL CAPACITY OF THE POOL
