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Abhi077
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06 Oct 2019, 11:01
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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42% (01:46) correct
58%
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wrong
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Mike has been biking through the Rockies for 2 days and has used up 4/9 of his medication. if the only way for him to get more medication is to return to his starting point, how much longer can he bike before he has to turn around and ride back to his starting point along the same path?
A)1/36
B)1/18
C)1/9
D)1/4
E)1/4
A)1/36
B)1/18
C)1/9
D)1/4
E)1/4
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06 Oct 2019, 14:49
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Mike's maximum distance is limited by his medicine because he has to return to his starting point. Letting his amount of medicine as M, and maximum distance as D, this means that his maximum distance can be expressed by:
D=(9/9M)/2=4.5M/9=1/2M
Mike has used 4/9 of his medication. This means that he has 1-(4/9)= 5/9 of his medication remaining.
To determine how much more of his trip he can complete (ie how much more of his medicine he can use before he has to return), subtract the distance rode (4/9 M) from his maximum distance (4.5/9M)
(4.5/9M)-(4/9M)=(0.5/9M)
Simplify to get a whole number into the numerator. to do this, simply multiply the whole fraction by (2/2)
(0.5/9M)*(2/2)=1/18M
B is the correct answer.
D=(9/9M)/2=4.5M/9=1/2M
Mike has used 4/9 of his medication. This means that he has 1-(4/9)= 5/9 of his medication remaining.
To determine how much more of his trip he can complete (ie how much more of his medicine he can use before he has to return), subtract the distance rode (4/9 M) from his maximum distance (4.5/9M)
(4.5/9M)-(4/9M)=(0.5/9M)
Simplify to get a whole number into the numerator. to do this, simply multiply the whole fraction by (2/2)
(0.5/9M)*(2/2)=1/18M
B is the correct answer.
06 Oct 2019, 20:26
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Abhi077
Mike has been biking through the Rockies for 2 days and has used up 4/9 of his medication. if the only way for him to get more medication is to return to his starting point, how much longer can he bike before he has to turn around and ride back to his starting point along the same path?
A)1/36
B)1/18
C)1/9
D)1/4
E)1/4
A)1/36
B)1/18
C)1/9
D)1/4
E)1/4
Well, Kudos for this question.
This can be thought in the below manner.
In 2 days, Mike is consuming 4/9 of his medication. So from here you know if he had to return immediately, he again will need the same amount of medication as he will be taking the same number of days to return.
At this point, you know Mike will for sure consume 8/9 i.e 2 days while going and 2days while returning. Now we are left with 1/9th of his medication.
On looking to this and the data which says 2days for 4/9 consumption, you know 1/9th of the medication can last for 1/2 day.
Here, read the last part of the question stem again, you would know he needs to have the same amount of medication to go back, so this 1/9 will then further get divided by 2. Hence, your time will be also getting divided by 2. Therefore, 1/4 would be the answer.
.
Only Concern is Why D & E have the same answers?
MY Answer : D/E as both have the same answer i.e 1/4.
