Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 84 meters. It is driven at the speed of 21 meters per second. How many seconds will it take for the train to pass a 273-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Sofia starts out at the starting point of a trail at 6 meters per second, and 3 seconds later Jay starts out at the same point at the speed of 7 meters per second. In how many seconds will Jay catch up with Sofia? 3. Smith and Jessica start together and race their bikes around a circular trial at constant speeds. It will take Smith 8 minutes to go 1 lap, and it will take Jessica 6 minutes for a lap. How long will it take Jessica to be exactly 1 lap ahead of Smith (in minutes)? 4. The length of a bridge is 1150 meters. A train crossed the bridge at 550 meters per minute. It took the train 3 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Jessica 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. George and Kevin are biking around a round trail which is 4 miles long. George bikes at 10 mph and Kevin 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. Hillary and Laura are biking around a round trail which is 12 miles long. Hillary bikes at 11 mph and Laura bikes at 5 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 5 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 56 feet in 7 seconds, how many minutes will it take her to bike 800 yards? 10. Eric drove his car at 44 mph for the same number of hours as that Richard drove his car at 39 mph. If Eric ended up driving 20 miles more than Richard, how many hours did they drive? |