Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 156 meters. It is driven at the speed of 26 meters per second. How many seconds will it take for the train to pass a 286-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Jane starts out at the starting point of a trail at 6 meters per second, and 9 seconds later Edward starts out at the same point at the speed of 9 meters per second. In how many seconds will Edward catch up with Jane? 3. Rene and Anne start together and race their bikes around a circular trial at constant speeds. It will take Rene 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 Rene (in minutes)? 4. The length of a bridge is 3000 meters. A train crossed the bridge at 600 meters per minute. It took the train 5.5 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Martha 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. Josh and Rene are biking around a round trail which is 8 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. Helen and Emily are biking around a round trail which is 12 miles long. Helen bikes at 9 mph and Emily 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 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 Julia can bike 45 feet in 9 seconds, how many minutes will it take her to bike 1000 yards? 10. Ben drove his car at 41 mph for the same number of hours as that Josh drove his car at 32 mph. If Ben ended up driving 54 miles more than Josh, how many hours did they drive? |