Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 168 meters. It is driven at the speed of 24 meters per second. How many seconds will it take for the train to pass a 456-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Jennifer starts out at the starting point of a trail at 6 meters per second, and 10 seconds later Jay starts out at the same point at the speed of 8 meters per second. In how many seconds will Jay catch up with Jennifer? 3. Ed and Jane start together and race their bikes around a circular trial at constant speeds. It will take Ed 8 minutes to go 1 lap, and it will take Jane 6 minutes for a lap. How long will it take Jane to be exactly 1 lap ahead of Ed (in minutes)? 4. The length of a bridge is 2300 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. Mary 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. Josh and Rene are biking around a round trail which is 10 miles long. Josh bikes at 10 mph and Rene 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. Jennifer and Hillary are biking around a round trail which is 12 miles long. Jennifer bikes at 10 mph and Hillary bikes at 6 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 8 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 Emily can bike 30 feet in 6 seconds, how many minutes will it take her to bike 1500 yards? 10. Richard drove his car at 42 mph for the same number of hours as that Ed drove his car at 37 mph. If Richard ended up driving 20 miles more than Ed, how many hours did they drive? |