Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 112 meters. It is driven at the speed of 28 meters per second. How many seconds will it take for the train to pass a 476-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Julia starts out at the starting point of a trail at 6 meters per second, and 12 seconds later Andy starts out at the same point at the speed of 9 meters per second. In how many seconds will Andy catch up with Julia? 3. Michael and Jessica start together and race their bikes around a circular trial at constant speeds. It will take Michael 8 minutes to go 1 lap, and it will take Jessica 6 minutes for a lap. How long will it take Jessica to be exactly 1 lap ahead of Michael (in minutes)? 4. The length of a bridge is 1380 meters. A train crossed the bridge at 600 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. Alice 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 6 miles long. David bikes at 10 mph and Eric 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. Hillary and Laura are biking around a round trail which is 12 miles long. Hillary bikes at 9 mph and Laura 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 9 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 Morgan can bike 90 feet in 9 seconds, how many minutes will it take her to bike 2200 yards? 10. Kevin drove his car at 58 mph for the same number of hours as that David drove his car at 50 mph. If Kevin ended up driving 40 miles more than David, how many hours did they drive? |