Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 144 meters. It is driven at the speed of 24 meters per second. How many seconds will it take for the train to pass a 432-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Nancy starts out at the starting point of a trail at 6 meters per second, and 5 seconds later Joe starts out at the same point at the speed of 7 meters per second. In how many seconds will Joe catch up with Nancy? 3. Kevin and Emily start together and race their bikes around a circular trial at constant speeds. It will take Kevin 6 minutes to go 1 lap, and it will take Emily 4 minutes for a lap. How long will it take Emily to be exactly 1 lap ahead of Kevin (in minutes)? 4. The length of a bridge is 720 meters. A train crossed the bridge at 300 meters per minute. It took the train 3.4 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Niconia 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. Kevin and David are biking around a round trail which is 10 miles long. Kevin bikes at 11 mph and David 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. Susan and Mary are biking around a round trail which is 8 miles long. Susan bikes at 10 mph and Mary bikes at 6 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 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 Emily can bike 30 feet in 5 seconds, how many minutes will it take her to bike 1800 yards? 10. John drove his car at 48 mph for the same number of hours as that George drove his car at 40 mph. If John ended up driving 72 miles more than George, how many hours did they drive? |