Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 104 meters. It is driven at the speed of 26 meters per second. How many seconds will it take for the train to pass a 312-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Mary starts out at the starting point of a trail at 6 meters per second, and 15 seconds later Michael starts out at the same point at the speed of 9 meters per second. In how many seconds will Michael catch up with Mary? 3. Jackson and Julia start together and race their bikes around a circular trial at constant speeds. It will take Jackson 6 minutes to go 1 lap, and it will take Julia 4 minutes for a lap. How long will it take Julia to be exactly 1 lap ahead of Jackson (in minutes)? 4. The length of a bridge is 1280 meters. A train crossed the bridge at 600 meters per minute. It took the train 2.8 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 10 miles long. Eric bikes at 10 mph and Richard 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. Mary and Julia are biking around a round trail which is 10 miles long. Mary bikes at 8 mph and Julia bikes at 12 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 Martha can bike 45 feet in 5 seconds, how many minutes will it take her to bike 2160 yards? 10. John drove his car at 58 mph for the same number of hours as that George drove his car at 53 mph. If John ended up driving 25 miles more than George, how many hours did they drive? |