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01 Oct 2024, 01:30
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Difficulty:
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63% (02:15) correct
37%
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Jane drove at a constant speed from point A to point B and back to point A in 20 minutes. In how much time did Jacob drive from point B to point A?
(1) Jacob drove at a constant speed of 80 Km/h
(2) Jacob took 15 seconds less than Jane to drive through 1 km.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) Jacob drove at a constant speed of 80 Km/h
(2) Jacob took 15 seconds less than Jane to drive through 1 km.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
This is a Data Sufficiency Butler Question
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Check the links to other Butler Projects:
- Data Sufficiency Butler
- Problem Solving Butler
- Sentence Correction Butler
- Reading Comprehension Butler
- Integrated Reasoning Butler
01 Oct 2024, 23:13
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Jane drove at a constant speed from point A to point B and back to point A in 20 minutes. In how much time did Jacob drive from point B to point A?
(1) Jacob drove at a constant speed of 80 Km/h.
Since the distance between A to B is unknown, we are unable to determine how much time Jacob takes to drive from point B to A using this information. So, Insufficient.
(2) Jacob took 15 seconds less than Jane to drive through 1 km.
How much time Jane takes to drive through 1 Km is unknown. So, this information is also Insufficient.
Now, consider both the information together,
Jacob drove at a constant speed of 80 Km/h. So, 80 Km in 3600 seconds and 1 Km in 3600/80=45 seconds.
Now, Jacob took 15 seconds less than Jane to drive through 1 km. So, Jane drive through 1 Km in 60 seconds or in 1 minute.
We are also aware that Jane drove at a constant speed from point A to point B and back to point A in 20 minutes. So, Jane drove 20x1=20 Km in 20 minute. So, the distance between A to B or B to A is 20/2= 10 Km.
Certainly, time taken by Jacob to drive from point B to A is= 10 x 45/60 minute= 10x3/4=7.5 minute. Sufficient.
Answer : C.
(1) Jacob drove at a constant speed of 80 Km/h.
Since the distance between A to B is unknown, we are unable to determine how much time Jacob takes to drive from point B to A using this information. So, Insufficient.
(2) Jacob took 15 seconds less than Jane to drive through 1 km.
How much time Jane takes to drive through 1 Km is unknown. So, this information is also Insufficient.
Now, consider both the information together,
Jacob drove at a constant speed of 80 Km/h. So, 80 Km in 3600 seconds and 1 Km in 3600/80=45 seconds.
Now, Jacob took 15 seconds less than Jane to drive through 1 km. So, Jane drive through 1 Km in 60 seconds or in 1 minute.
We are also aware that Jane drove at a constant speed from point A to point B and back to point A in 20 minutes. So, Jane drove 20x1=20 Km in 20 minute. So, the distance between A to B or B to A is 20/2= 10 Km.
Certainly, time taken by Jacob to drive from point B to A is= 10 x 45/60 minute= 10x3/4=7.5 minute. Sufficient.
Answer : C.
08 Oct 2024, 03:57
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| d | s | t | |
| Jane | 2x | d/t = 3x | 2/3 hours |
| Jacob | x | y | z |
we want z = x/y --> thus we want both x and y
(1) y = 80 NS
(2) Jacob takes 15 seconds longer than Jane to travel a distance of 1
Jacob's time - Jane's time = 15/3600
Jacob's time = 1/y --> time to travel 1 kilometer for Jacob
Jane's time = 1/3x --> time to travel 1 kilometer for Jane
1/3x - 1/y = 15/3600 NS
(1)(2)
we know both
1/3x - 1/y = 15/3600
y = 80
thus we have y and can find x from the first of the two equations. SUFFICIENT
