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17 Jun 2021, 06:30
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B
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Difficulty:
55%
(hard)
Question Stats:
68% (02:06) correct
32%
(02:17)
wrong
based on 445
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A tank has a solution consisting of milk and water in equal proportion. This solution is transferred into a vessel having 100 ml pure water at the rate of 10 ml per second. In how much time from the start of the transfer, will the ratio of milk to water in the vessel be 1 : 3?
(A) 5 seconds
(B) 10 seconds
(C) 15 seconds
(D) 20 seconds
(E) 25 seconds
(A) 5 seconds
(B) 10 seconds
(C) 15 seconds
(D) 20 seconds
(E) 25 seconds
27 Jun 2024, 01:05
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Lets say we have 200ml water+milk mixture (each one is 100 ml). Given rate of flow : 10ml per sec so say 5ml per sec for water and 5 ml per sec for Milk, and the tank already contains 100ml water.
so at t=0, Milk in tank=0ml and water in tank = 100ml.
at t=1sec, milk = 5ml and water = 100 + 5ml
so we get AP for milk=5n and water 100+5n at time n sec.
using the ratio given, M:w=1:3 we solve it using 5n/(100+5n)=1/3 so get n=10 sec.
so at t=0, Milk in tank=0ml and water in tank = 100ml.
at t=1sec, milk = 5ml and water = 100 + 5ml
so we get AP for milk=5n and water 100+5n at time n sec.
using the ratio given, M:w=1:3 we solve it using 5n/(100+5n)=1/3 so get n=10 sec.
General Discussion
17 Jun 2021, 08:01
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1 : 3 milk to water can be expressed as 25% milk
Using alligation: the solution that will be poured in has 50% milk, where the 100ml in the vessel has 0%
50..........0
.......25......
25...........25
or 1:1
As equal parts of both are required to form a 25% solution, and the vessel has 100ml, then 100ml of the 50/50 solution is needed.
100ml being poured at 10ml/second will take 10 seconds to pour.
Answer B
Using alligation: the solution that will be poured in has 50% milk, where the 100ml in the vessel has 0%
50..........0
.......25......
25...........25
or 1:1
As equal parts of both are required to form a 25% solution, and the vessel has 100ml, then 100ml of the 50/50 solution is needed.
100ml being poured at 10ml/second will take 10 seconds to pour.
Answer B
