Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 116 meters. It is driven at the speed of 29 meters per second. How many seconds will it take for the train to pass a 261-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Jessica starts out at the starting point of a trail at 5 meters per second, and 2 seconds later Jay starts out at the same point at the speed of 6 meters per second. In how many seconds will Jay catch up with Jessica? 3. Steve and Susan start together and race their bikes around a circular trial at constant speeds. It will take Steve 6 minutes to go 1 lap, and it will take Susan 4 minutes for a lap. How long will it take Susan to be exactly 1 lap ahead of Steve (in minutes)? 4. The length of a bridge is 1395 meters. A train crossed the bridge at 550 meters per minute. It took the train 2.9 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Mary 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 10 miles long. David bikes at 11 mph and Eric 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. Julia and Jane are biking around a round trail which is 12 miles long. Julia bikes at 8 mph and Jane bikes at 8 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 Alice can bike 100 feet in 10 seconds, how many minutes will it take her to bike 2600 yards? 10. George drove his car at 60 mph for the same number of hours as that Kevin drove his car at 68 mph. If George ended up driving 56 miles less than Kevin, how many hours did they drive? |