Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 162 meters. It is driven at the speed of 27 meters per second. How many seconds will it take for the train to pass a 513-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Julia starts out at the starting point of a trail at 6 meters per second, and 2 seconds later Jay starts out at the same point at the speed of 8 meters per second. In how many seconds will Jay catch up with Julia? 3. Larry and Niconia start together and race their bikes around a circular trial at constant speeds. It will take Larry 6 minutes to go 1 lap, and it will take Niconia 4 minutes for a lap. How long will it take Niconia to be exactly 1 lap ahead of Larry (in minutes)? 4. The length of a bridge is 410 meters. A train crossed the bridge at 350 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. Anne 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. Kevin and David are biking around a round trail which is 4 miles long. Kevin bikes at 12 mph and David bikes at 10 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. Nancy and Susan are biking around a round trail which is 6 miles long. Nancy bikes at 7 mph and Susan bikes at 9 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 9 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 Emily can bike 72 feet in 9 seconds, how many minutes will it take her to bike 1120 yards? 10. Edward drove his car at 40 mph for the same number of hours as that John drove his car at 49 mph. If Edward ended up driving 45 miles less than John, how many hours did they drive? |