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07 Nov 2023, 02:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
71% (02:16) correct
29%
(02:16)
wrong
based on 89
sessions
History
Date
Time
Result
Not Attempted Yet
Every time Cole tries to teach his old Collie dog, Cachaca, a new trick, it takes 3 minutes more than half the time it took to teach it the previous trick. If it took Cole m minutes to teach Cachaca the latest trick, and m>5, how long did it take him to teach Cachaca the trick before the previous trick?
A. 4m-18
B. 4m+9
C. 2m+9
D. 2m +12
E. m-6
A. 4m-18
B. 4m+9
C. 2m+9
D. 2m +12
E. m-6
07 Nov 2023, 18:27
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Bunuel
OA is A
You can easily solve this question if you put any value of m > 6 and satisfy the eqn :
Now as per question - > 1/2t+3 = m
m = Time taken by Cole to teach Cachaca the latest trick
t = Time taken by Cole to teach Cachaca the previous trick
Now take any value greater than 5, let us take 6 min time taken by Cole to teach Cachaca the latest trick.
Putting this value 1/2t+ 3 = 6
t=6
so time taken by Cole to teach Cachaca the previous trick is 6 min.
Now put m = 6 in option you will get your ans :
A. 4m-18 ----> 24-18 = 6 ---> Answer
B. 4m+9 ------> 24+ 9 = 33 -> wrong
C. 2m+9 -----> 12+ 9 = 21
D. 2m +12 ---> 12+ 12 = 24 wrong
E. m-6 ------> 6-6 = 0
08 Nov 2023, 01:40
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Time taken to learn the latest trick = m
Let:
n = time taken to learn previous trick
o = time taken to learn trick before the previous trick
By the formula given:
m = 3 + n/2
Rearranging:
n = 2(m - 3)
Similarly,
o = 2(n - 3)
Putting in m:
o = 2( 2(m - 3) - 3)
= 4m - 18
Answer: (A) 4m - 18
Let:
n = time taken to learn previous trick
o = time taken to learn trick before the previous trick
By the formula given:
m = 3 + n/2
Rearranging:
n = 2(m - 3)
Similarly,
o = 2(n - 3)
Putting in m:
o = 2( 2(m - 3) - 3)
= 4m - 18
Answer: (A) 4m - 18
