We need to determine the distance Jim travels from home to the supermarket.
This is a data sufficiency problem, so we will analyze each statement separately and then together.
Given Formula:
Distance = Speed × Time
---
Step 1: Evaluate Statement (1) Alone
- Jim takes 20 minutes (or 1/3 hour) to reach the supermarket.
- However, we do not know his speed.
- Since distance depends on speed, this statement alone is
not sufficient.
---
Step 2: Evaluate Statement (2) Alone
- Jim’s average speed is 30 mph.
- However, we do not know how long he traveled.
- Without time, we cannot compute the distance.
- This statement alone is
not sufficient.
---
Step 3: Evaluate Both Statements Together
- From (1), time = 1/3 hour.
- From (2), speed = 30 mph.
- Using Distance = Speed × Time, we get:
Distance = 30 × (1/3) = 10 miles.
Since we can determine the exact distance, the statements together are
sufficient.
---
Option C