Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 105 meters. It is driven at the speed of 21 meters per second. How many seconds will it take for the train to pass a 252-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Morgan starts out at the starting point of a trail at 4 meters per second, and 6 seconds later Steve starts out at the same point at the speed of 7 meters per second. In how many seconds will Steve catch up with Morgan? 3. Kevin and Nancy start together and race their bikes around a circular trial at constant speeds. It will take Kevin 8 minutes to go 1 lap, and it will take Nancy 6 minutes for a lap. How long will it take Nancy to be exactly 1 lap ahead of Kevin (in minutes)? 4. The length of a bridge is 2350 meters. A train crossed the bridge at 500 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. Morgan 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. David and Eric are biking around a round trail which is 6 miles long. David bikes at 12 mph and Eric 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. Alice and Anne are biking around a round trail which is 10 miles long. Alice bikes at 9 mph and Anne bikes at 7 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 Jane can bike 60 feet in 10 seconds, how many minutes will it take her to bike 840 yards? 10. Ed drove his car at 43 mph for the same number of hours as that Ben drove his car at 49 mph. If Ed ended up driving 24 miles less than Ben, how many hours did they drive? |