Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 138 meters. It is driven at the speed of 23 meters per second. How many seconds will it take for the train to pass a 138-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Martha starts out at the starting point of a trail at 4 meters per second, and 4 seconds later Michael starts out at the same point at the speed of 5 meters per second. In how many seconds will Michael catch up with Martha? 3. Tom and Laura start together and race their bikes around a circular trial at constant speeds. It will take Tom 6 minutes to go 1 lap, and it will take Laura 4 minutes for a lap. How long will it take Laura to be exactly 1 lap ahead of Tom (in minutes)? 4. The length of a bridge is 1265 meters. A train crossed the bridge at 450 meters per minute. It took the train 3.7 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 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 6 miles long. Ed bikes at 12 mph and Ben 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. Anne and Nancy are biking around a round trail which is 8 miles long. Anne bikes at 11 mph and Nancy 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 40 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 Nancy can bike 42 feet in 7 seconds, how many minutes will it take her to bike 1800 yards? 10. Ben drove his car at 47 mph for the same number of hours as that Josh drove his car at 37 mph. If Ben ended up driving 50 miles more than Josh, how many hours did they drive? |