IBM Ponder This #008 · December 1998

Snow begins to fall before noon and continues at a constant rate. At noon, the city sends out its first snowplow. The plow removes snow at a constant rate in cubic feet per minute.

At 1 P.M. it has travelled $2$ miles. At 2 P.M. it has travelled $3$ miles in total and is still not retracing its path.

At what time did the snow begin to fall?

Solution

Best opened after a real attempt

Solution

To be added.