Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 92 meters. It is driven at the speed of 23 meters per second. How many seconds will it take for the train to pass a 253-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Mary starts out at the starting point of a trail at 4 meters per second, and 3 seconds later Ben starts out at the same point at the speed of 7 meters per second. In how many seconds will Ben catch up with Mary? 3. Richard and Hillary start together and race their bikes around a circular trial at constant speeds. It will take Richard 6 minutes to go 1 lap, and it will take Hillary 4 minutes for a lap. How long will it take Hillary to be exactly 1 lap ahead of Richard (in minutes)? 4. The length of a bridge is 1205 meters. A train crossed the bridge at 350 meters per minute. It took the train 4.3 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Anne was riding her bike to school at 7 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 3 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 10 miles long. Kevin bikes at 11 mph and David bikes at 9 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. Helen and Emily are biking around a round trail which is 8 miles long. Helen bikes at 10 mph and Emily bikes at 10 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 40 miles per hour reaches a tunnel which is 5 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 Laura can bike 56 feet in 7 seconds, how many minutes will it take her to bike 960 yards? 10. Edward drove his car at 50 mph for the same number of hours as that John drove his car at 58 mph. If Edward ended up driving 64 miles less than John, how many hours did they drive? |