Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 144 meters. It is driven at the speed of 24 meters per second. How many seconds will it take for the train to pass a 432-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Niconia starts out at the starting point of a trail at 5 meters per second, and 4 seconds later George starts out at the same point at the speed of 7 meters per second. In how many seconds will George catch up with Niconia? 3. Jay and Anne start together and race their bikes around a circular trial at constant speeds. It will take Jay 6 minutes to go 1 lap, and it will take Anne 4 minutes for a lap. How long will it take Anne to be exactly 1 lap ahead of Jay (in minutes)? 4. The length of a bridge is 2600 meters. A train crossed the bridge at 600 meters per minute. It took the train 4.5 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Alice was riding her bike to school at 9 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 1 MPH, what was her average speed (in MPH) for the entire trip from home to school? 6. Richard and Ed are biking around a round trail which is 6 miles long. Richard bikes at 10 mph and Ed 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 8 miles long. Anne bikes at 9 mph and Nancy 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 20 miles per hour reaches a tunnel which is 6 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 Julia can bike 81 feet in 9 seconds, how many minutes will it take her to bike 2160 yards? 10. David drove his car at 44 mph for the same number of hours as that Eric drove his car at 53 mph. If David ended up driving 81 miles less than Eric, how many hours did they drive? |