Two cyclists cover the same distance at 15 km/hr and 16 km/hr, respectively. If one cyclist takes 16 minutes longer than the other, then the distance travelled by each cyclist is:

Each cyclist travels 64 km.

Time difference 16 minutes = 16/60 hour.

With distance d : d/15 - d/16 = 16/60.

So d(16 - 15)/240 = 16/60, i.e. d/240 = 16/60.

Hence d = 240 x 16/60 = 64 km.