Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 216 meters. It is driven at the speed of 27 meters per second. How many seconds will it take for the train to pass a 216-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Laura starts out at the starting point of a trail at 5 meters per second, and 2 seconds later Curtis starts out at the same point at the speed of 7 meters per second. In how many seconds will Curtis catch up with Laura? 3. Larry and Sofia start together and race their bikes around a circular trial at constant speeds. It will take Larry 4 minutes to go 1 lap, and it will take Sofia 2 minutes for a lap. How long will it take Sofia to be exactly 1 lap ahead of Larry (in minutes)? 4. The length of a bridge is 1360 meters. A train crossed the bridge at 400 meters per minute. It took the train 4.4 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Hillary 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. Eric and Richard are biking around a round trail which is 10 miles long. Eric bikes at 10 mph and Richard 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. Jane and Jennifer are biking around a round trail which is 12 miles long. Jane bikes at 11 mph and Jennifer 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 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 Hillary can bike 72 feet in 9 seconds, how many minutes will it take her to bike 2240 yards? 10. Ben drove his car at 53 mph for the same number of hours as that Josh drove his car at 45 mph. If Ben ended up driving 48 miles more than Josh, how many hours did they drive? |