Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 92 meters. It is driven at the speed of 23 meters per second. How many seconds will it take for the train to pass a 161-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Nancy starts out at the starting point of a trail at 4 meters per second, and 10 seconds later Smith starts out at the same point at the speed of 6 meters per second. In how many seconds will Smith catch up with Nancy? 3. George and Emily start together and race their bikes around a circular trial at constant speeds. It will take George 8 minutes to go 1 lap, and it will take Emily 6 minutes for a lap. How long will it take Emily to be exactly 1 lap ahead of George (in minutes)? 4. The length of a bridge is 1300 meters. A train crossed the bridge at 500 meters per minute. It took the train 3.6 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Martha was riding her bike to school at 9 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 1 MPH, what was her average speed (in MPH) for the entire trip from home to school? 6. Ben and Josh are biking around a round trail which is 4 miles long. Ben bikes at 12 mph and Josh 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. Susan and Mary are biking around a round trail which is 6 miles long. Susan bikes at 11 mph and Mary bikes at 9 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 Morgan can bike 40 feet in 8 seconds, how many minutes will it take her to bike 1500 yards? 10. Eric drove his car at 50 mph for the same number of hours as that Richard drove his car at 45 mph. If Eric ended up driving 40 miles more than Richard, how many hours did they drive? |