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27 Jul 2020, 21:39
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North
side: 6 South
side: 4
side: 6 South
side: 4
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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A homeowner has installed two systems of gutters and 100-liter barrels to collect water that runs off of her roof, one system on the north side and the other on the south side. Sixty percent of the water that falls on her roof runs into the gutters of the north side system and the remaining 40 percent runs into the south side gutters. All water then drains into the barrels. No barrel is attached to both of the gutter systems, and all barrels contain only water that has drained from the gutters.
Suppose that all of the barrels take in water at the same rate and over the same period of time. Select for North side and South side numbers of barrels that are jointly consistent with this supposition and the given information. Make only two selections, one in each column.
Suppose that all of the barrels take in water at the same rate and over the same period of time. Select for North side and South side numbers of barrels that are jointly consistent with this supposition and the given information. Make only two selections, one in each column.
|
North side |
South side |
Number of barrels |
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 7 |
ShowHide Answer
Official Answer
North
side: 6 South
side: 4
side: 6 South
side: 4
27 Jul 2020, 22:00
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Both barrels have 100litres capacity,and north takes 60% of total water falling,while south takes 40% of the total ,so
x=No.of barrels which need to be placed in line to collect the total water in north side.
y=No.of barrels which need to be placed in line to collect the total water in south side.
0.6*T=100*x
0.4*T=100*y
So now here T would be an integer,so x should be something which is divisble by 6 and y should be something which is divisble by 4,so per the options
The best possible value of x is 6 and y is 4
Posted from my mobile device
x=No.of barrels which need to be placed in line to collect the total water in north side.
y=No.of barrels which need to be placed in line to collect the total water in south side.
0.6*T=100*x
0.4*T=100*y
So now here T would be an integer,so x should be something which is divisble by 6 and y should be something which is divisble by 4,so per the options
The best possible value of x is 6 and y is 4
Posted from my mobile device
General Discussion
17 Aug 2024, 20:25
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Well,
The ratio is (0.6):(0.4).
As there is no fractional barrel, we must multiply this ratio until we reach integers.
Multiplying by (x5) we would reach 3:2, but there is no such option.
The next integer show up up if we multiply the ratio by (x10), which yields 6:4.
The ratio is (0.6):(0.4).
As there is no fractional barrel, we must multiply this ratio until we reach integers.
Multiplying by (x5) we would reach 3:2, but there is no such option.
The next integer show up up if we multiply the ratio by (x10), which yields 6:4.
