Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 175 meters. It is driven at the speed of 25 meters per second. How many seconds will it take for the train to pass a 325-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Hillary starts out at the starting point of a trail at 4 meters per second, and 4 seconds later Edward starts out at the same point at the speed of 6 meters per second. In how many seconds will Edward catch up with Hillary? 3. Kevin and Mary start together and race their bikes around a circular trial at constant speeds. It will take Kevin 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 Kevin (in minutes)? 4. The length of a bridge is 3140 meters. A train crossed the bridge at 600 meters per minute. It took the train 5.4 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. Eric and Richard are biking around a round trail which is 8 miles long. Eric bikes at 11 mph and Richard 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. Nancy and Susan are biking around a round trail which is 10 miles long. Nancy bikes at 10 mph and Susan bikes at 10 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 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 Jessica can bike 45 feet in 9 seconds, how many minutes will it take her to bike 600 yards? 10. Eric drove his car at 59 mph for the same number of hours as that Richard drove his car at 64 mph. If Eric ended up driving 20 miles less than Richard, how many hours did they drive? |