Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 200 meters. It is driven at the speed of 25 meters per second. How many seconds will it take for the train to pass a 275-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Nancy starts out at the starting point of a trail at 5 meters per second, and 2 seconds later Jackson starts out at the same point at the speed of 7 meters per second. In how many seconds will Jackson catch up with Nancy? 3. George and Jessica start together and race their bikes around a circular trial at constant speeds. It will take George 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 George (in minutes)? 4. The length of a bridge is 1640 meters. A train crossed the bridge at 400 meters per minute. It took the train 4.6 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Jessica 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. Rene and Jay are biking around a round trail which is 6 miles long. Rene bikes at 11 mph and Jay 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. Hillary and Laura are biking around a round trail which is 10 miles long. Hillary bikes at 11 mph and Laura bikes at 5 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 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 Anne can bike 30 feet in 5 seconds, how many minutes will it take her to bike 840 yards? 10. Ed drove his car at 44 mph for the same number of hours as that Ben drove his car at 34 mph. If Ed ended up driving 80 miles more than Ben, how many hours did they drive? |