James and Andrea take a trip in Andrea's car. On the first leg of the trip, they drive 40 miles per hour to their destination. On the second leg, they turn around and return by the same route in 4 hours. How long do they spend driving on the first leg?Given that J&A covered certain distance at 40 miles per hour and then the same distance in 4 hours. We want to find the time they spend driving on the first leg, which is d/40 (while the total distance being 2d).
(1) Their average speed for the entire trip is 35 miles per hour.
(Average speed) = (total distance)/(total time) --> 35 = 2d/(d/40 + 4) --> we can get d, and then calculate d/40. Sufficient.
(2) The distance to their destination is 110 miles --> d = 110 --> d/40 = 110/40. Sufficient.
Answer: D.
Though formal answer to the question is D (EACH statement ALONE is sufficient), this is not a realistic GMAT question, as:
on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. But the statements above contradict each other: the value of d from the statements are different.
Not a good question.