Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 135 meters. It is driven at the speed of 27 meters per second. How many seconds will it take for the train to pass a 378-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Julia starts out at the starting point of a trail at 6 meters per second, and 10 seconds later Ed starts out at the same point at the speed of 8 meters per second. In how many seconds will Ed catch up with Julia? 3. Jay and Hillary start together and race their bikes around a circular trial at constant speeds. It will take Jay 8 minutes to go 1 lap, and it will take Hillary 6 minutes for a lap. How long will it take Hillary to be exactly 1 lap ahead of Jay (in minutes)? 4. The length of a bridge is 1495 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 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. Eric and Richard are biking around a round trail which is 8 miles long. Eric bikes at 12 mph and Richard 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 8 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 30 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 Anne can bike 25 feet in 5 seconds, how many minutes will it take her to bike 1300 yards? 10. Richard drove his car at 52 mph for the same number of hours as that Ed drove his car at 42 mph. If Richard ended up driving 40 miles more than Ed, how many hours did they drive? |