Calculus word problem
John wants to get to the bus stop, the bus stop is across a grassy park, 2000 feet west and 600 feet north of his starting location. John can wal west along the edge of the park on the sidewalk at a speed of 6 ft/sec and 4 ft/sec through the grass. How far should he walk on the sidewalk before veering off onto the grass if he wishes to get to the bus stop in exactly 7 min 30 sec?

Needsore clarification like sidewalk thickness to be considered or not! It is not given Question is ambiguous
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