Honking of Train

Calculus Level pending

A 10 km long straight road connects two towns A and B. The two cyclists start simultaneously one from Town A and other from Town B. On reaching the opposite town a cyclist immediately returns to his starting town whereas the other cyclist takes some rest and then returns to his starting town. Both of them can ride at a speed of 20 km/hr in absence of wind but during their whole journey uniform wind from Town A to B increases speed of the cyclist going against the wind. Both the cyclists meet twice, first 2 km and then 6 km away from one of the towns. In which town and for what period a cyclist rests? (Answer is in minutes)

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