Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 120 meters. It is driven at the speed of 20 meters per second. How many seconds will it take for the train to pass a 160-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Mary starts out at the starting point of a trail at 5 meters per second, and 3 seconds later Ben starts out at the same point at the speed of 8 meters per second. In how many seconds will Ben catch up with Mary? 3. Jay and Jessica start together and race their bikes around a circular trial at constant speeds. It will take Jay 4 minutes to go 1 lap, and it will take Jessica 2 minutes for a lap. How long will it take Jessica to be exactly 1 lap ahead of Jay (in minutes)? 4. The length of a bridge is 2550 meters. A train crossed the bridge at 500 meters per minute. It took the train 5.3 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. Ed and Ben are biking around a round trail which is 4 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. Nancy and Susan are biking around a round trail which is 12 miles long. Nancy bikes at 8 mph and Susan 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 30 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 50 feet in 10 seconds, how many minutes will it take her to bike 1500 yards? 10. George drove his car at 55 mph for the same number of hours as that Kevin drove his car at 64 mph. If George ended up driving 72 miles less than Kevin, how many hours did they drive? |