Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 161 meters. It is driven at the speed of 23 meters per second. How many seconds will it take for the train to pass a 368-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Niconia starts out at the starting point of a trail at 5 meters per second, and 4 seconds later Richard starts out at the same point at the speed of 6 meters per second. In how many seconds will Richard catch up with Niconia? 3. Jay and Emily start together and race their bikes around a circular trial at constant speeds. It will take Jay 6 minutes to go 1 lap, and it will take Emily 4 minutes for a lap. How long will it take Emily to be exactly 1 lap ahead of Jay (in minutes)? 4. The length of a bridge is 680 meters. A train crossed the bridge at 350 meters per minute. It took the train 2.8 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Susan 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. David and Eric are biking around a round trail which is 10 miles long. David bikes at 11 mph and Eric 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. Julia and Jane are biking around a round trail which is 8 miles long. Julia bikes at 7 mph and Jane bikes at 13 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 30 miles per hour reaches a tunnel which is 7 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 Jessica can bike 70 feet in 7 seconds, how many minutes will it take her to bike 1800 yards? 10. Edward drove his car at 59 mph for the same number of hours as that John drove his car at 69 mph. If Edward ended up driving 30 miles less than John, how many hours did they drive? |