Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 150 meters. It is driven at the speed of 30 meters per second. How many seconds will it take for the train to pass a 540-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 2 seconds later Larry starts out at the same point at the speed of 8 meters per second. In how many seconds will Larry catch up with Jennifer? 3. Kevin and Nancy start together and race their bikes around a circular trial at constant speeds. It will take Kevin 6 minutes to go 1 lap, and it will take Nancy 4 minutes for a lap. How long will it take Nancy to be exactly 1 lap ahead of Kevin (in minutes)? 4. The length of a bridge is 1600 meters. A train crossed the bridge at 400 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. Jane 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. Ben and Josh are biking around a round trail which is 4 miles long. Ben bikes at 10 mph and Josh 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. Hillary and Laura are biking around a round trail which is 6 miles long. Hillary bikes at 10 mph and Laura bikes at 10 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 5 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 35 feet in 7 seconds, how many minutes will it take her to bike 1500 yards? 10. Kevin drove his car at 50 mph for the same number of hours as that David drove his car at 57 mph. If Kevin ended up driving 28 miles less than David, how many hours did they drive? |