Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 80 meters. It is driven at the speed of 20 meters per second. How many seconds will it take for the train to pass a 200-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Morgan starts out at the starting point of a trail at 6 meters per second, and 4 seconds later Rene starts out at the same point at the speed of 7 meters per second. In how many seconds will Rene catch up with Morgan? 3. Richard and Emily start together and race their bikes around a circular trial at constant speeds. It will take Richard 4 minutes to go 1 lap, and it will take Emily 2 minutes for a lap. How long will it take Emily to be exactly 1 lap ahead of Richard (in minutes)? 4. The length of a bridge is 2340 meters. A train crossed the bridge at 600 meters per minute. It took the train 4.4 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Sofia 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 6 miles long. Kevin bikes at 11 mph and David 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. Anne and Nancy are biking around a round trail which is 10 miles long. Anne bikes at 7 mph and Nancy 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 30 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 Jane can bike 50 feet in 10 seconds, how many minutes will it take her to bike 900 yards? 10. Ben drove his car at 53 mph for the same number of hours as that Josh drove his car at 59 mph. If Ben ended up driving 42 miles less than Josh, how many hours did they drive? |