Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 108 meters. It is driven at the speed of 27 meters per second. How many seconds will it take for the train to pass a 486-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Niconia starts out at the starting point of a trail at 5 meters per second, and 10 seconds later Andy starts out at the same point at the speed of 7 meters per second. In how many seconds will Andy catch up with Niconia? 3. Nick and Sofia start together and race their bikes around a circular trial at constant speeds. It will take Nick 8 minutes to go 1 lap, and it will take Sofia 6 minutes for a lap. How long will it take Sofia to be exactly 1 lap ahead of Nick (in minutes)? 4. The length of a bridge is 2065 meters. A train crossed the bridge at 450 meters per minute. It took the train 5.7 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Jane was riding her bike to school at 9 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 1 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 10 miles long. Rene bikes at 11 mph and Jay bikes at 9 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. Nancy and Susan are biking around a round trail which is 6 miles long. Nancy bikes at 7 mph and Susan 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 40 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 Jane can bike 56 feet in 8 seconds, how many minutes will it take her to bike 700 yards? 10. Richard drove his car at 59 mph for the same number of hours as that Ed drove his car at 51 mph. If Richard ended up driving 32 miles more than Ed, how many hours did they drive? |