Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 174 meters. It is driven at the speed of 29 meters per second. How many seconds will it take for the train to pass a 174-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Laura starts out at the starting point of a trail at 6 meters per second, and 3 seconds later Joe starts out at the same point at the speed of 7 meters per second. In how many seconds will Joe catch up with Laura? 3. Richard and Morgan start together and race their bikes around a circular trial at constant speeds. It will take Richard 6 minutes to go 1 lap, and it will take Morgan 4 minutes for a lap. How long will it take Morgan to be exactly 1 lap ahead of Richard (in minutes)? 4. The length of a bridge is 820 meters. A train crossed the bridge at 400 meters per minute. It took the train 3.3 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Jennifer 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. John and George are biking around a round trail which is 6 miles long. John bikes at 12 mph and George 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. Anne and Nancy are biking around a round trail which is 12 miles long. Anne bikes at 7 mph and Nancy bikes at 13 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 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 Julia can bike 60 feet in 10 seconds, how many minutes will it take her to bike 1440 yards? 10. Ed drove his car at 40 mph for the same number of hours as that Ben drove his car at 31 mph. If Ed ended up driving 54 miles more than Ben, how many hours did they drive? |