# Data Sufficiency Question no 21

Q:

Charu traveled from point A to the point B and then from Point B to point C. If she took 1 hour to complete the trip, what is the total distance she traveled?
(1) From A to B, her average speed was 40 mph, and from B to C her average speed was 60 mph.
(2) Her average speed for the complete trip was 50 mph.

1. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked
2. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked
3. Both statements 1 and 2 together are sufficient to answer the question but neither statement 1 nor statement 2 is sufficient alone.
4. Each statement alone is sufficient to answer the question.
5. Statements 1 and 2 together are not sufficient to answer the question asked, and additional data specific to the problem are needed.
Level: Medium

statement 2
average speed = (total distance covered)/(total time taken)
In statement 1 the average speed is given for two different paths and time is for the complete trip so the information is not sufficient to answer the requisite problem.
In statement 2 the average speed is given for the complete journey and we also have the time taken for the complete trip so the given data is sufficient to answer the requisite problem.