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Two vessels have petrol, diesel and kerosene
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04 Feb 2021, 08:34
04 Feb 2021, 08:34
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Two vessels have petrol, diesel and kerosene mixed in the ratio 1 : 2 : 4 and 3 : 5 : 6. If the quantities in the two vessels are mixed in the ratio 1 : 1, what is the ratio of petrol, diesel and kerosene in the resultant mixture?
(A) 5 : 9 : 14
(B) 3 : 6 : 8
(C) 4 : 8 : 11
(D) 4 : 7 : 10
(D) 4 : 7 : 12
Kudos for the right answer and explanation
(A) 5 : 9 : 14
(B) 3 : 6 : 8
(C) 4 : 8 : 11
(D) 4 : 7 : 10
(D) 4 : 7 : 12
Kudos for the right answer and explanation
Two vessels have petrol, diesel and kerosene
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04 Feb 2021, 08:55
04 Feb 2021, 08:55
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Vessels are mixed in 1:1 ratio hence volume for both will be same.
Petrol : Diesel : Kerosene
Vessel 1 - 1:2:4 & Vessel 2 - 3:5:6
Let's take 14 liter of both the vessel - hence volume will be 28 liters
Quantity of petrol, diesel & kerosene from v1 = 2 , 4 , 8 liters resp.
Quantity of petrol, diesel & kerosene from v2 = 3 , 5 , 6 liters resp.
Total quantity in mixture = 5 , 9 , 14
The ratio is \(5:9:14\)
Answer A
Petrol : Diesel : Kerosene
Vessel 1 - 1:2:4 & Vessel 2 - 3:5:6
Let's take 14 liter of both the vessel - hence volume will be 28 liters
Quantity of petrol, diesel & kerosene from v1 = 2 , 4 , 8 liters resp.
Quantity of petrol, diesel & kerosene from v2 = 3 , 5 , 6 liters resp.
Total quantity in mixture = 5 , 9 , 14
The ratio is \(5:9:14\)
Answer A
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Re: Two vessels have petrol, diesel and kerosene
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04 Feb 2021, 10:36
04 Feb 2021, 10:36
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Carcass wrote:
Two vessels have petrol, diesel and kerosene mixed in the ratio 1 : 2 : 4 and 3 : 5 : 6. If the quantities in the two vessels are mixed in the ratio 1 : 1, what is the ratio of petrol, diesel and kerosene in the resultant mixture?
(A) 5 : 9 : 14
(B) 3 : 6 : 8
(C) 4 : 8 : 11
(D) 4 : 7 : 10
(D) 4 : 7 : 12
Kudos for the right answer and explanation
(A) 5 : 9 : 14
(B) 3 : 6 : 8
(C) 4 : 8 : 11
(D) 4 : 7 : 10
(D) 4 : 7 : 12
Kudos for the right answer and explanation
In order to find equal quantities to be mixed, we'll need to find equivalent ratios such that the SUMS of the terms are equal.
1 + 2 + 4 = 7
3 + 5 + 6 = 14
Take the ratio 1 : 2 : 4 and multiply all terms by 2 to get the equivalent ratio: 2 : 4 : 8
Notice that 2 + 4 + 8 = 14
So, in 14 units of the first mixture, there are 2 units of petrol, 4 units of diesel and 8 units of kerosene.
Similarly, 14 units of the second mixture, there are 3 units of petrol, 5 units of diesel and 6 units of kerosene.
When we combine 14 units of each mixture, we get 28 units in the ratio: (2 + 3) : (4 + 5) : (8 + 6), which simplifies to be 5 : 9 : 14
Answer: A
