A woman drove part of a 185 mile trip at 50 miles per hour and the rest at 55 miles per hour. Find the distance she traveled at 50 miles per hour if her total driving time was 3 hours and 30
minutes.

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.