Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 112 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. Anne starts out at the starting point of a trail at 5 meters per second, and 8 seconds later Rene starts out at the same point at the speed of 7 meters per second. In how many seconds will Rene catch up with Anne? 3. Tom and Niconia start together and race their bikes around a circular trial at constant speeds. It will take Tom 6 minutes to go 1 lap, and it will take Niconia 4 minutes for a lap. How long will it take Niconia to be exactly 1 lap ahead of Tom (in minutes)? 4. The length of a bridge is 2515 meters. A train crossed the bridge at 550 meters per minute. It took the train 5.3 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 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. George and Kevin are biking around a round trail which is 10 miles long. George bikes at 10 mph and Kevin 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. Helen and Emily are biking around a round trail which is 12 miles long. Helen bikes at 11 mph and Emily bikes at 9 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 20 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 Julia can bike 36 feet in 6 seconds, how many minutes will it take her to bike 1200 yards? 10. Richard drove his car at 49 mph for the same number of hours as that Ed drove his car at 56 mph. If Richard ended up driving 63 miles less than Ed, how many hours did they drive? |