Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 196 meters. It is driven at the speed of 28 meters per second. How many seconds will it take for the train to pass a 364-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Helen starts out at the starting point of a trail at 6 meters per second, and 6 seconds later Steve starts out at the same point at the speed of 9 meters per second. In how many seconds will Steve catch up with Helen? 3. Joe and Hillary start together and race their bikes around a circular trial at constant speeds. It will take Joe 4 minutes to go 1 lap, and it will take Hillary 2 minutes for a lap. How long will it take Hillary to be exactly 1 lap ahead of Joe (in minutes)? 4. The length of a bridge is 870 meters. A train crossed the bridge at 300 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. Alice 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. John and George are biking around a round trail which is 6 miles long. John bikes at 10 mph and George bikes at 8 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 10 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 30 miles per hour reaches a tunnel which is 7 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 Laura can bike 36 feet in 6 seconds, how many minutes will it take her to bike 1440 yards? 10. Edward drove his car at 57 mph for the same number of hours as that John drove his car at 67 mph. If Edward ended up driving 90 miles less than John, how many hours did they drive? |