Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 104 meters. It is driven at the speed of 26 meters per second. How many seconds will it take for the train to pass a 390-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 Larry starts out at the same point at the speed of 8 meters per second. In how many seconds will Larry catch up with Alice? 3. Richard and Laura 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 Laura 2 minutes for a lap. How long will it take Laura to be exactly 1 lap ahead of Richard (in minutes)? 4. The length of a bridge is 1835 meters. A train crossed the bridge at 550 meters per minute. It took the train 3.7 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Alice 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. Rene and Jay are biking around a round trail which is 6 miles long. Rene bikes at 12 mph and Jay 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 8 mph and Emily 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 40 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 5 seconds, how many minutes will it take her to bike 1440 yards? 10. Josh drove his car at 48 mph for the same number of hours as that Rene drove his car at 54 mph. If Josh ended up driving 24 miles less than Rene, how many hours did they drive? |