Question

a. Two cyclists racing on parallel roads maintain constant speeds of 30 mi/hr and 25 mi/hr. The faster cyclists crosses the finish line one hour before the slower cyclist. How long was the race (in miles)?

b. Because Boat A travels 1.5 times faster than Boat B, Boat B was given a 1.5-hr head start in a race. How long did it take Boat A to catch Boat B?

c. A plane flew into a headwind and made the outbound trip in 84 min. It turned around and made the return trip with a tailwind in 9 min less than it would have taken with no wind. Assuming that the plane’s ground speed and wind speed are constant, what are the possible times for the return trip?

d.A woman usually takes 5:30 train home from work, arriving at the station at 6:00 where her husband meets her to drive her home. One day she left work early and took the 5:00 train, arrived at the station at 5:30, and began walking home. Her husband, leaving home at the usual time, met his wife along the way and brought her home 20 min earlier than usual. How long did the woman walk?

e. Bob was traveling 80 km/hr behind a truck traveling 65 km/hr. How far behind the truck was Bob one minute before the crash?

f. At his usual rate Bernie can row 15 mi downstream in five hr less time than it takes him to row 15 mi upstream. If he doubles his usual rate, his time downstream is only one hour less than the time upstream. What is the rate of the current in miles per hour?

Answer 1