Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 192 meters. It is driven at the speed of 24 meters per second. How many seconds will it take for the train to pass a 360-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Emily starts out at the starting point of a trail at 5 meters per second, and 6 seconds later Ed starts out at the same point at the speed of 8 meters per second. In how many seconds will Ed catch up with Emily? 3. Jay and Niconia start together and race their bikes around a circular trial at constant speeds. It will take Jay 8 minutes to go 1 lap, and it will take Niconia 6 minutes for a lap. How long will it take Niconia to be exactly 1 lap ahead of Jay (in minutes)? 4. The length of a bridge is 1440 meters. A train crossed the bridge at 600 meters per minute. It took the train 2.9 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Emily 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. Richard and Ed are biking around a round trail which is 10 miles long. Richard bikes at 12 mph and Ed 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. Emily and Alice are biking around a round trail which is 8 miles long. Emily bikes at 8 mph and Alice bikes at 12 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 8 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 Alice can bike 90 feet in 9 seconds, how many minutes will it take her to bike 2000 yards? 10. Edward drove his car at 52 mph for the same number of hours as that John drove his car at 42 mph. If Edward ended up driving 90 miles more than John, how many hours did they drive? |