Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 224 meters. It is driven at the speed of 28 meters per second. How many seconds will it take for the train to pass a 364-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Hillary starts out at the starting point of a trail at 5 meters per second, and 9 seconds later Michael starts out at the same point at the speed of 8 meters per second. In how many seconds will Michael catch up with Hillary? 3. Edward and Helen start together and race their bikes around a circular trial at constant speeds. It will take Edward 4 minutes to go 1 lap, and it will take Helen 2 minutes for a lap. How long will it take Helen to be exactly 1 lap ahead of Edward (in minutes)? 4. The length of a bridge is 1180 meters. A train crossed the bridge at 300 meters per minute. It took the train 5.6 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Susan was riding her bike to school at 8 MPH. Exactly half way, she got a flat tire on her bike and had to walk to the school for the remaining distance. If she was able to walk at 2 MPH, what was her average speed (in MPH) for the entire trip from home to school? 6. Kevin and David are biking around a round trail which is 4 miles long. Kevin bikes at 10 mph and David bikes at 8 mph. If both start from the same place and ride in the same direction, how long (in hours) will it take for them to meet again? 7. Anne and Nancy are biking around a round trail which is 10 miles long. Anne bikes at 7 mph and Nancy bikes at 13 mph. If both start from the same place but ride to different directions, how many minutes will it take for them to meet again? 8. A train traveling at 20 miles per hour reaches a tunnel which is 7 times as long as the train. If the train takes minutes to completely clear the tunnel, how long is the train in miles? Express your answer as a fraction in lowest terms. 9. If Niconia can bike 70 feet in 10 seconds, how many minutes will it take her to bike 1400 yards? 10. Kevin drove his car at 59 mph for the same number of hours as that David drove his car at 50 mph. If Kevin ended up driving 72 miles more than David, how many hours did they drive? |