Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 116 meters. It is driven at the speed of 29 meters per second. How many seconds will it take for the train to pass a 348-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 5 seconds later Jackson starts out at the same point at the speed of 5 meters per second. In how many seconds will Jackson catch up with Mary? 3. Josh and Sofia start together and race their bikes around a circular trial at constant speeds. It will take Josh 6 minutes to go 1 lap, and it will take Sofia 4 minutes for a lap. How long will it take Sofia to be exactly 1 lap ahead of Josh (in minutes)? 4. The length of a bridge is 1810 meters. A train crossed the bridge at 550 meters per minute. It took the train 4.2 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Morgan 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. Rene and Jay are biking around a round trail which is 6 miles long. Rene bikes at 11 mph and Jay 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. Alice and Anne are biking around a round trail which is 12 miles long. Alice bikes at 9 mph and Anne bikes at 7 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 30 miles per hour reaches a tunnel which is 9 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 81 feet in 9 seconds, how many minutes will it take her to bike 1080 yards? 10. Kevin drove his car at 60 mph for the same number of hours as that David drove his car at 53 mph. If Kevin ended up driving 28 miles more than David, how many hours did they drive? |