Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 125 meters. It is driven at the speed of 25 meters per second. How many seconds will it take for the train to pass a 275-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Laura starts out at the starting point of a trail at 5 meters per second, and 6 seconds later Steve starts out at the same point at the speed of 8 meters per second. In how many seconds will Steve catch up with Laura? 3. David and Julia start together and race their bikes around a circular trial at constant speeds. It will take David 4 minutes to go 1 lap, and it will take Julia 2 minutes for a lap. How long will it take Julia to be exactly 1 lap ahead of David (in minutes)? 4. The length of a bridge is 1240 meters. A train crossed the bridge at 300 meters per minute. It took the train 4.8 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Sofia 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. Richard and Ed are biking around a round trail which is 6 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. Mary and Julia are biking around a round trail which is 10 miles long. Mary bikes at 11 mph and Julia bikes at 5 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 6 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 56 feet in 7 seconds, how many minutes will it take her to bike 1760 yards? 10. Eric drove his car at 51 mph for the same number of hours as that Richard drove his car at 57 mph. If Eric ended up driving 42 miles less than Richard, how many hours did they drive? |