Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 88 meters. It is driven at the speed of 22 meters per second. How many seconds will it take for the train to pass a 242-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Sofia starts out at the starting point of a trail at 4 meters per second, and 2 seconds later Andy starts out at the same point at the speed of 6 meters per second. In how many seconds will Andy catch up with Sofia? 3. Eric and Mary start together and race their bikes around a circular trial at constant speeds. It will take Eric 8 minutes to go 1 lap, and it will take Mary 6 minutes for a lap. How long will it take Mary to be exactly 1 lap ahead of Eric (in minutes)? 4. The length of a bridge is 1450 meters. A train crossed the bridge at 550 meters per minute. It took the train 3 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Jessica 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. Josh and Rene are biking around a round trail which is 6 miles long. Josh bikes at 11 mph and Rene 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. Jennifer and Hillary are biking around a round trail which is 10 miles long. Jennifer bikes at 9 mph and Hillary bikes at 11 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 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 Mary can bike 63 feet in 7 seconds, how many minutes will it take her to bike 1800 yards? 10. Josh drove his car at 45 mph for the same number of hours as that Rene drove his car at 50 mph. If Josh ended up driving 15 miles less than Rene, how many hours did they drive? |