Al and Barb shared the driving on a certain trip. What fraction of the total distance did Al drive?(1) Al drove for 3/4 as much time as Barb did.(2) Als average driving speed for the entire trip was 4/5 of Barbs average driving speed for the trip.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?

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Al and Barb shared the driving on a certain trip. What fraction of the total distance did Al drive?

(1) Al drove for 3/4 as much time as Barb did.
(2) Al's average driving speed for the entire trip was 4/5 of Barb's average driving speed for the trip.

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
d)
EACH 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 are needed

Correct answer is option 'C'. Can you explain this answer?

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Al and Barb shared the driving on a certain trip. What fraction of the...

Understanding the Problem
To find the fraction of the total distance Al drove, we need to analyze the information provided in both statements.
Statement (1): Time Driven
- Al drove for 3/4 as much time as Barb did.
- Let Barb's driving time be T_B and Al's driving time be T_A = (3/4)T_B.
However, this information alone does not provide the speeds of Al and Barb, making it impossible to determine the distance driven by each. Therefore, statement (1) alone is insufficient.
Statement (2): Average Driving Speed
- Al's average speed was 4/5 of Barb's average speed.
- Let Barb's speed be S_B. Then Al's speed S_A = (4/5)S_B.
While this gives a relationship between their speeds, it does not specify the driving times. Consequently, statement (2) alone is also insufficient.
Combining Statements (1) and (2)
- From statement (1), we have T_A = (3/4)T_B.
- From statement (2), we know S_A = (4/5)S_B.
Using the formula for distance (Distance = Speed x Time), we can express the distances driven:
- Distance driven by Al: D_A = S_A * T_A = (4/5)S_B * (3/4)T_B = (3/5)(S_B * T_B).
- Distance driven by Barb: D_B = S_B * T_B.
Now, we can find the fraction of the total distance that Al drove:
- Total Distance D_T = D_A + D_B = (3/5)(S_B * T_B) + (S_B * T_B) = (3/5) + (5/5) = (8/5)(S_B * T_B).
Thus, the fraction of the total distance that Al drove is:
D_A / D_T = ((3/5)(S_B * T_B)) / ((8/5)(S_B * T_B)) = 3/8.
Since both statements provide complementary information, together they allow us to answer the question. Therefore, the correct answer is option 'C'.

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Al and Barb shared the driving on a certain trip. What fraction of the...

Understanding the Problem
To determine the fraction of the total distance that Al drove, we need to consider both the time and speed at which Al and Barb drove.
Statement (1): Al drove for 3/4 as much time as Barb did.
- Let the time Barb drove be T.
- Then, Al drove for 3/4 T.
- The distance Al drove is dependent on his speed. Without knowing Al's speed, we cannot calculate the exact distance he drove relative to the total distance.
Thus, Statement (1) alone is insufficient.
Statement (2): Al's average driving speed for the entire trip was 4/5 of Barb's average driving speed.
- Let Barb's average speed be S.
- Therefore, Al's average speed is (4/5)S.
- If we denote the distance driven by Al as DA and by Barb as DB, we know:
- DA = (4/5)S * TA
- DB = S * TB
- However, without knowing the relationship between TA and TB, we cannot establish a clear fraction for the total distance driven by Al.
Thus, Statement (2) alone is insufficient.
Combining Statements (1) and (2):
- From Statement (1), we have the time ratios: TA = (3/4)TB.
- From Statement (2), we have the speed ratios: Al's speed is 4/5 of Barb's.
- By combining these, we can establish the distances:
- DA = (4/5)S * (3/4)TB
- DB = S * TB
- We can now express the total distance and the distance driven by Al in terms of TB and S, allowing us to find the fraction of the total distance that Al drove.
Thus, both statements together are sufficient.
The correct answer is option C.

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Al and Barb shared the driving on a certain trip. What fraction of the total distance did Al drive?(1) Al drove for 3/4 as much time as Barb did.(2) Als average driving speed for the entire trip was 4/5 of Barbs average driving speed for the trip.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?

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Al and Barb shared the driving on a certain trip. What fraction of the total distance did Al drive?(1) Al drove for 3/4 as much time as Barb did.(2) Als average driving speed for the entire trip was 4/5 of Barbs average driving speed for the trip.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Al and Barb shared the driving on a certain trip. What fraction of the total distance did Al drive?(1) Al drove for 3/4 as much time as Barb did.(2) Als average driving speed for the entire trip was 4/5 of Barbs average driving speed for the trip.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Al and Barb shared the driving on a certain trip. What fraction of the total distance did Al drive?(1) Al drove for 3/4 as much time as Barb did.(2) Als average driving speed for the entire trip was 4/5 of Barbs average driving speed for the trip.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.

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