Create solver_work_rate.py

solver_work_rate.py

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+from __future__ import annotations
+
+import re
+from typing import Optional
+
+from models import SolverResult
+
+
+def solve_work_rate(text: str) -> Optional[SolverResult]:
+
+    lower = text.lower()
+
+    if "together" not in lower and "work together" not in lower:
+        return None
+
+    times = [float(x) for x in re.findall(r"\d+(?:\.\d+)?", lower)]
+
+    if len(times) < 2:
+        return None
+
+    t1 = times[0]
+    t2 = times[1]
+
+    rate = (1 / t1) + (1 / t2)
+
+    if rate == 0:
+        return None
+
+    total_time = 1 / rate
+
+    return SolverResult(
+        domain="quant",
+        solved=True,
+        topic="work_rate",
+        answer_value=f"{total_time:g}",
+        internal_answer=f"{total_time:g}",
+        steps=[
+            "Convert each time to a work rate.",
+            "Add the rates together.",
+            "Take the reciprocal to get the total time."
+        ]
+    )