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# Jane drove at a constant speed from point A to point B and back to poi

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Senior Manager
Joined: 25 Dec 2018
Posts: 484
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
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WE: Engineering (Consulting)
Jane drove at a constant speed from point A to point B and back to poi  [#permalink]

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10 Mar 2019, 10:05
2
00:00

Difficulty:

55% (hard)

Question Stats:

54% (02:01) correct 46% (01:46) wrong based on 28 sessions

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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 kilometres per hour

(2) Jacob took 15 seconds less than Jane to drive through 1 kilometre

A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

C)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

E)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Math Expert
Joined: 02 Aug 2009
Posts: 7958
Re: Jane drove at a constant speed from point A to point B and back to poi  [#permalink]

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10 Mar 2019, 10:29
2
1
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 kilometres per hour.
We do not know the distance from B to A.

(2) Jacob took 15 seconds less than Jane to drive through 1 kilometre
We do not know the distance, or Janes speed.

Combined..
Jacobs speed was 80kmph, and he takes 15sec less than Jane to travel 1 km.
So, if Jacob takes 1 hr or 60 min to travel 80km, Jane will take 1hr +80*15sec or (60+80*15/60)=80min.
Jane, therefore, travels 80km in 80 mins, and thus 20 km in 20 min... Now time for B to A will be half of it , that is 10 minutes.
If Jane takes 10 minutes, Jacob will take 10-10*15/60=10-2.5 that is 7 and a half minutes.
Sufficient

C
_________________
Re: Jane drove at a constant speed from point A to point B and back to poi   [#permalink] 10 Mar 2019, 10:29
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