Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 154 meters. It is driven at the speed of 22 meters per second. How many seconds will it take for the train to pass a 132-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Emily starts out at the starting point of a trail at 4 meters per second, and 8 seconds later Joe starts out at the same point at the speed of 6 meters per second. In how many seconds will Joe catch up with Emily? 3. Larry and Morgan start together and race their bikes around a circular trial at constant speeds. It will take Larry 4 minutes to go 1 lap, and it will take Morgan 2 minutes for a lap. How long will it take Morgan to be exactly 1 lap ahead of Larry (in minutes)? 4. The length of a bridge is 1645 meters. A train crossed the bridge at 450 meters per minute. It took the train 4.1 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Mary 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. Ed and Ben are biking around a round trail which is 4 miles long. Ed bikes at 12 mph and Ben 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. Jane and Jennifer are biking around a round trail which is 6 miles long. Jane bikes at 7 mph and Jennifer 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 20 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 Emily can bike 63 feet in 7 seconds, how many minutes will it take her to bike 900 yards? 10. Ed drove his car at 52 mph for the same number of hours as that Ben drove his car at 46 mph. If Ed ended up driving 30 miles more than Ben, how many hours did they drive? |