gsm8k-0016
1.000
Challenge · difficulty 2/5
# GSM8K Problem 17
Two trains leave San Rafael at the same time. They begin traveling westward, both traveling for 80 miles. The next day, they travel northwards, covering 150 miles. What's the distance covered by each train in the two days?
Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.
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Proposed solution
We are told that two trains leave San Rafael at the same time and follow the same route over two days:
- **Day 1**: Travel **westward** for **80 miles**.
- **Day 2**: Travel **northward** for **150 miles**.
The question asks: **What's the distance covered by each train in the two days?**
Note: It says "distance covered", not displacement. So we sum the distances traveled each day, regardless of direction.
So for each train:
- Day 1: 80 miles
- Day 2: 150 miles
- Total distance = $80 + 150 = 230$ miles
Since both trains follow the same path and distances, each train covers **230 miles**.
$$
\boxed{230}
$$