Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 100 meters. It is driven at the speed of 25 meters per second. How many seconds will it take for the train to pass a 475-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Laura starts out at the starting point of a trail at 4 meters per second, and 6 seconds later John starts out at the same point at the speed of 6 meters per second. In how many seconds will John catch up with Laura? 3. Edward and Niconia start together and race their bikes around a circular trial at constant speeds. It will take Edward 4 minutes to go 1 lap, and it will take Niconia 2 minutes for a lap. How long will it take Niconia to be exactly 1 lap ahead of Edward (in minutes)? 4. The length of a bridge is 855 meters. A train crossed the bridge at 350 meters per minute. It took the train 3.3 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Anne 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. Ed and Ben are biking around a round trail which is 10 miles long. Ed bikes at 11 mph and Ben 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. Mary and Julia are biking around a round trail which is 12 miles long. Mary bikes at 7 mph and Julia bikes at 13 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 Hillary can bike 63 feet in 7 seconds, how many minutes will it take her to bike 1080 yards? 10. David drove his car at 45 mph for the same number of hours as that Eric drove his car at 39 mph. If David ended up driving 18 miles more than Eric, how many hours did they drive? |