How much time will the bus take to go from Denver to Nebraska? 1. If the bus increases the speed by 15%, it will reach there in 6 hours. 2. The speed of the bus is more than 40 miles per hour.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
Statement 1 gives a relationship between speed and time (if speed increases by 15%, time is 6 hours). This allows solving for the original time. Statement 2 only provides a lower bound on speed, which is insufficient to determine the exact time.
Let the original speed be S and the time be T, making the distance equal to S times T. Statement 1 says the new speed is 1.15S and the new time is 6 hours, so the distance is 1.15S times 6, and equating the distances gives T = 1.15 times 6, which results in a unique time of 6.9 hours. Statement 2 only says the speed is greater than 40 miles per hour, which offers infinite possibilities for the time. Therefore, statement 1 alone is sufficient, but statement 2 alone is not sufficient.