Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 126 meters. It is driven at the speed of 21 meters per second. How many seconds will it take for the train to pass a 294-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 15 seconds later Eric starts out at the same point at the speed of 9 meters per second. In how many seconds will Eric catch up with Jennifer? 3. Josh and Alice 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 Alice 4 minutes for a lap. How long will it take Alice to be exactly 1 lap ahead of Josh (in minutes)? 4. The length of a bridge is 1550 meters. A train crossed the bridge at 500 meters per minute. It took the train 3.9 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Sofia 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. George and Kevin are biking around a round trail which is 6 miles long. George bikes at 11 mph and Kevin 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. Anne and Nancy are biking around a round trail which is 10 miles long. Anne bikes at 10 mph and Nancy 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 40 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 Alice can bike 90 feet in 9 seconds, how many minutes will it take her to bike 1600 yards? 10. Edward drove his car at 40 mph for the same number of hours as that John drove his car at 34 mph. If Edward ended up driving 42 miles more than John, how many hours did they drive? |