Multiple choice

Will Peter reach his office on time, if he leaves home at 8 am and his office is at a distance of 8 miles from his home, and his office timings start at 8:15 am? (1) He travels the first 5 miles at a speed of 30 miles per hour and the rest at a speed of 20 miles per hour. (2) He travels at a speed of 20 miles per hour for the first 5 minutes and then increases his speed by 60%.

  1. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement 1: Total time = 5/30 + 3/20 = 1/6 + 3/20 = 10/60 + 9/60 = 19/60 hours = 19 minutes. He arrives at 8:19, so he is late. Statement 2: 5 mins at 20 mph = 5/60 * 20 = 5/3 miles. Remaining 6.33 miles at 32 mph takes ~12 mins. Total time is 17 mins, he is late. Both are sufficient to determine he is late.

AI explanation

Statement 1 provides specific speeds for specific distances, allowing you to calculate the exact travel time as (5 / 30) + (3 / 20) hours, which equals 1/6 + 3/20 = 10/60 + 9/60 = 19/60 hours, or 19 minutes; since 19 minutes is greater than 15 minutes, you can definitively answer the question. Statement 2 allows you to calculate the distance covered in the first 5 minutes at 20 mph, which is 20 times (5/60) = 5/3 miles, and then calculate the remaining distance and the time taken to cover it at 32 mph. Because both statements independently allow you to calculate the exact total travel time and compare it to the 15-minute target, each statement alone is sufficient.

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