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12 Jan 2026, 22:00
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Difficulty:
85%
(hard)
Question Stats:
40% (01:49) correct
60%
(01:56)
wrong
based on 155
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Cars A and B are stationed in “Townville” and “Cityburg”, respectively. The two cities are connected by parallel highways and are 100 miles apart. The two cars begin their journeys simultaneously, moving in opposite directions, each heading towards the other car’s point of departure. If the two cars cross each other after 30 minutes, which car is closer to its destination city at the point of crossing?
(1) Car B averaged a speed of 40 miles per hour for the entire trip.
(2) When the two cars crossed each other, car A had averaged a speed of 80 miles per hour.
(1) Car B averaged a speed of 40 miles per hour for the entire trip.
(2) When the two cars crossed each other, car A had averaged a speed of 80 miles per hour.
13 Jan 2026, 07:08
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ExpertsGlobal5
Two cities are 100 miles apart. The cars A and B are moving towards each other.
They meet in 30 minutes.
Relative speed = (A+B) = 100/(30/60)= 200.
Thus, A + B = 200.
We need to find: Which car is closer to the destination?
Statement 1:
Car B averaged a speed of 40 miles per hour for the entire trip.
Car B travelled at 40 miles in 60 minutes.
so, in 30 minutes, 20 miles is crossed by Car B. While , Car A could have travelled a distance of 80 miles.
Thus, A is nearest to the destination. Hence, Sufficient.
Statement 2:
When the two cars crossed each other, car A had averaged a speed of 80 miles per hour.
Car A has crossed a distance of 40 miles in 30 minutes.
Car B has traveled a distance of 60 miles in 30 minutes.
So, Car B is closer to destination.
Hence, Sufficient
Option D
13 Jan 2026, 10:37
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Hi,
Statement 1:
Car B averaged a speed of 40 miles per hour for the entire trip.
Car B travelled at 40 miles in 60 minutes.
so, in 30 minutes, 20 miles is crossed by Car B. While , Car A could have travelled a distance of 80 miles.
Thus, A is nearest to the destination. Hence, Sufficient. Agree.
Statement 2 :
This statement provides information of Car A speed at the time of crossing i.e 80 mph. But that doesn't conclude that the speed of Car A was constant at this rate.
Even if we assume here that Car A speed was constant at 80, then the car which is nearest to destination becomes B. In this case, the answer we come up with Statement 1 & Statement 2 are different; which is not allowed. The answer to both statements, if they are truly independent, should be one.
So, the final answer should be A.
Statement 1:
Car B averaged a speed of 40 miles per hour for the entire trip.
Car B travelled at 40 miles in 60 minutes.
so, in 30 minutes, 20 miles is crossed by Car B. While , Car A could have travelled a distance of 80 miles.
Thus, A is nearest to the destination. Hence, Sufficient. Agree.
Statement 2 :
This statement provides information of Car A speed at the time of crossing i.e 80 mph. But that doesn't conclude that the speed of Car A was constant at this rate.
Even if we assume here that Car A speed was constant at 80, then the car which is nearest to destination becomes B. In this case, the answer we come up with Statement 1 & Statement 2 are different; which is not allowed. The answer to both statements, if they are truly independent, should be one.
So, the final answer should be A.
Dereno
13 Jan 2026, 11:00
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Brindac2
Hi, I am not an expert to comment extensively on this. But still, I would be immensely happy to respond back.
Firstly, Speed was not constant and they have given average speed till crossing, as this is sufficient to ascertain the distance travelled by that vehicle A. With the total distance being constant , the remaining distance is covered by vehicle B can be found out easily.
Secondly, the question asks which car is closer to the destination, taking statement 1 alone with the basic info from question, we have arrived at an answer, and that answer seems to address the question asked.
While taking into consideration, the question and statement 2 in isolation, we are able to answer the question : which car is closer to destination ? . Even though, this answer might not resonate with the earlier answer. But, we have been able to arrive at an answer based on the cards we have at hand.
Hope I was able to clarify your doubts.
I believe in data sufficiency question, the merit of the statement at that point should be considered while evaluating the validity.
Even I am curious to look into the solution, after ur seeing ur comment. Let’s wait and see how things turn up.
