Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 100 meters. It is driven at the speed of 20 meters per second. How many seconds will it take for the train to pass a 240-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Niconia starts out at the starting point of a trail at 6 meters per second, and 15 seconds later Smith starts out at the same point at the speed of 9 meters per second. In how many seconds will Smith catch up with Niconia? 3. Smith and Susan start together and race their bikes around a circular trial at constant speeds. It will take Smith 6 minutes to go 1 lap, and it will take Susan 4 minutes for a lap. How long will it take Susan to be exactly 1 lap ahead of Smith (in minutes)? 4. The length of a bridge is 1850 meters. A train crossed the bridge at 500 meters per minute. It took the train 3.9 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Laura 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. Eric and Richard are biking around a round trail which is 4 miles long. Eric bikes at 12 mph and Richard 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. Helen and Emily are biking around a round trail which is 6 miles long. Helen bikes at 7 mph and Emily 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 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 Jessica can bike 49 feet in 7 seconds, how many minutes will it take her to bike 1120 yards? 10. John drove his car at 60 mph for the same number of hours as that George drove his car at 66 mph. If John ended up driving 30 miles less than George, how many hours did they drive? |