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Bike-sharing systems have been regarded as a critical component of solutions towards the transition to greener and more sustainable transportation, with the benefits of reducing carbon emissions, improving public health, and mitigating congestion by replacing short-distance motorized trips. Due to better accessibility and usage flexibility, newly emergent dockless sharing bikes have become quite popular and are reviving the fashion of cycling in cities. Urban congestion is simultaneously influenced by heterogeneous saptio-temporal travel demands, topology and spatial characteristics of road networks, and the interplay between travel modes. In this paper, by considering aforementioned factors, we discover a robust sublinear scaling relation between the level of congestion for vehicles and the detour ratio weighted by biking traffic, which is intriguing given the fact that congestion and detour ratio is linearly independent. Such a scaling relation implies a strong interplay between vehicle traffic and cycling activities and can be applied in predictions for congestion or aggregated to more sophisticated traffic models. In addition, biking-traffic-weighted detour ratio can be applied to detect inefficient routes, which would help alleviate urban congestion, make better urban planning, and improve transportation efficiency and equity in cities.