"varying distances" is grammatically correct and can be used in written English.
Example: The park had several jogging trails of varying distances, catering to people of different fitness levels.
Making the power of the interferers vary simulates the potentially varying distances from the interferers in a dense scenario.
Chemical signals secreted by cells can act over varying distances.
Factors like prenatal nutrition can influence bone growth, which can set the eyes varying distances apart.
Calculating results this way takes into account the varying distances birds fly to their home coops.
But the others were remark ably accurate, in all directions for varying distances.
Twenty seven farms, of varying distances from the forest, were selected.
Players were required to float or saucer pucks over hurdles and into tiny nets, arranged at varying distances.
Usually, however, a scene includes objects at varying distances from the camera.
Road events include walking, marathon, and other road runs of widely varying distances.
They take four shots at each target, in some cases from varying distances or positions.
Five locations were selected at varying distances downstream of compressor stations.
