Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 154 meters. It is driven at the speed of 22 meters per second. How many seconds will it take for the train to pass a 418-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Alice starts out at the starting point of a trail at 5 meters per second, and 15 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 Alice? 3. Richard and Mary start together and race their bikes around a circular trial at constant speeds. It will take Richard 4 minutes to go 1 lap, and it will take Mary 2 minutes for a lap. How long will it take Mary to be exactly 1 lap ahead of Richard (in minutes)? 4. The length of a bridge is 1160 meters. A train crossed the bridge at 400 meters per minute. It took the train 3.4 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Niconia 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. Ed and Ben are biking around a round trail which is 8 miles long. Ed bikes at 12 mph and Ben 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. Alice and Anne are biking around a round trail which is 8 miles long. Alice bikes at 9 mph and Anne bikes at 7 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 Alice can bike 40 feet in 8 seconds, how many minutes will it take her to bike 800 yards? 10. Eric drove his car at 57 mph for the same number of hours as that Richard drove his car at 49 mph. If Eric ended up driving 32 miles more than Richard, how many hours did they drive? |