Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 132 meters. It is driven at the speed of 22 meters per second. How many seconds will it take for the train to pass a 352-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Jane starts out at the starting point of a trail at 5 meters per second, and 2 seconds later Eric starts out at the same point at the speed of 7 meters per second. In how many seconds will Eric catch up with Jane? 3. Smith and Jessica start together and race their bikes around a circular trial at constant speeds. It will take Smith 4 minutes to go 1 lap, and it will take Jessica 2 minutes for a lap. How long will it take Jessica to be exactly 1 lap ahead of Smith (in minutes)? 4. The length of a bridge is 870 meters. A train crossed the bridge at 450 meters per minute. It took the train 2.6 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Susan 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. Edward and John are biking around a round trail which is 8 miles long. Edward bikes at 11 mph and John 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. Susan and Mary are biking around a round trail which is 6 miles long. Susan bikes at 8 mph and Mary bikes at 12 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 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 Anne can bike 48 feet in 6 seconds, how many minutes will it take her to bike 1280 yards? 10. Rene drove his car at 55 mph for the same number of hours as that Jay drove his car at 61 mph. If Rene ended up driving 54 miles less than Jay, how many hours did they drive? |