Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 168 meters. It is driven at the speed of 28 meters per second. How many seconds will it take for the train to pass a 280-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 3 seconds later Larry starts out at the same point at the speed of 9 meters per second. In how many seconds will Larry catch up with Martha? 3. George and Nancy start together and race their bikes around a circular trial at constant speeds. It will take George 8 minutes to go 1 lap, and it will take Nancy 6 minutes for a lap. How long will it take Nancy to be exactly 1 lap ahead of George (in minutes)? 4. The length of a bridge is 1060 meters. A train crossed the bridge at 450 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. Julia was riding her bike to school at 9 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 1 MPH, what was her average speed (in MPH) for the entire trip from home to school? 6. John and George are biking around a round trail which is 10 miles long. John bikes at 12 mph and George bikes at 10 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 10 mph and Laura bikes at 6 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 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 Susan can bike 80 feet in 10 seconds, how many minutes will it take her to bike 1760 yards? 10. Eric drove his car at 42 mph for the same number of hours as that Richard drove his car at 52 mph. If Eric ended up driving 50 miles less than Richard, how many hours did they drive? |