Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 96 meters. It is driven at the speed of 24 meters per second. How many seconds will it take for the train to pass a 456-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Martha starts out at the starting point of a trail at 6 meters per second, and 12 seconds later Ben starts out at the same point at the speed of 9 meters per second. In how many seconds will Ben catch up with Martha? 3. Josh and Alice start together and race their bikes around a circular trial at constant speeds. It will take Josh 4 minutes to go 1 lap, and it will take Alice 2 minutes for a lap. How long will it take Alice to be exactly 1 lap ahead of Josh (in minutes)? 4. The length of a bridge is 2100 meters. A train crossed the bridge at 600 meters per minute. It took the train 4 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Morgan 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. George and Kevin are biking around a round trail which is 4 miles long. George bikes at 10 mph and Kevin 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. Jane and Jennifer are biking around a round trail which is 8 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 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 Emily can bike 54 feet in 6 seconds, how many minutes will it take her to bike 1800 yards? 10. Edward drove his car at 41 mph for the same number of hours as that John drove his car at 47 mph. If Edward ended up driving 30 miles less than John, how many hours did they drive? |