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04 Jun 2015, 22:50
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A raindrop consists of 75% water and the rest is dust. However, by the time it reaches the surface of Earth, it is left with 70% water as 2 ml water evaporates on the way. Find the original volume of the raindrop.
a) 12 ml
b) 15 ml
c) 30 ml
d) 40 ml
e) 42 ml
a) 12 ml
b) 15 ml
c) 30 ml
d) 40 ml
e) 42 ml
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04 Jun 2015, 23:26
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dominicraj
Let the Volume of rain drop be x.
Therefore volume of water = 0.75x
After 2ml of water evaporates, volume of water = 0.75x-2
This is given as 70 % of volume of rain drop, which is x-2 ( Since 2ml is evaporated in transit )
Therefore ,
0.75x-2 = 0.7*(x-2)
0.05x = 0.6
x= 12
Therefore Volume of Raindrop = 12 ml (A)
04 Jun 2015, 23:53
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Hi dominicraj,
Since the question asks for the ORIGINAL VOLUME of the raindrop and the answer choices are NUMBERS, we can TEST THE ANSWERS.
We're told that a raindrop is 75% water and 25% dust. After 2ml of water evaporates, the raindrop is 70% water and 30% dust...
Since the answer choices are INTEGERS and the 2ml of evaporated water is ALSO an integer, we're likely looking for an ORIGINAL Volume that is a multiple of 4 (so the 75% calculation won't give us a decimal/fraction). There are two answers that 'fit' that pattern: A and D.
Let's TEST Answer A: 12 ml
If...Original Volume = 12ml
75% water = 9 ml
25% dust = 3 ml
After 2 ml of WATER evaporates...
Volume = 12-2 = 10 ml
Dust = 3 ml (it stays the same)
Water = 10-3 = 7 ml
7/10 IS 70% water; this MATCHES what we were told, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
Since the question asks for the ORIGINAL VOLUME of the raindrop and the answer choices are NUMBERS, we can TEST THE ANSWERS.
We're told that a raindrop is 75% water and 25% dust. After 2ml of water evaporates, the raindrop is 70% water and 30% dust...
Since the answer choices are INTEGERS and the 2ml of evaporated water is ALSO an integer, we're likely looking for an ORIGINAL Volume that is a multiple of 4 (so the 75% calculation won't give us a decimal/fraction). There are two answers that 'fit' that pattern: A and D.
Let's TEST Answer A: 12 ml
If...Original Volume = 12ml
75% water = 9 ml
25% dust = 3 ml
After 2 ml of WATER evaporates...
Volume = 12-2 = 10 ml
Dust = 3 ml (it stays the same)
Water = 10-3 = 7 ml
7/10 IS 70% water; this MATCHES what we were told, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
