Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 182 meters. It is driven at the speed of 26 meters per second. How many seconds will it take for the train to pass a 312-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Alice starts out at the starting point of a trail at 5 meters per second, and 3 seconds later Curtis starts out at the same point at the speed of 8 meters per second. In how many seconds will Curtis catch up with Alice? 3. Ben and Sofia start together and race their bikes around a circular trial at constant speeds. It will take Ben 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 Ben (in minutes)? 4. The length of a bridge is 1860 meters. A train crossed the bridge at 600 meters per minute. It took the train 3.6 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Laura was riding her bike to school at 9 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 1 MPH, what was her average speed (in MPH) for the entire trip from home to school? 6. Rene and Jay are biking around a round trail which is 4 miles long. Rene bikes at 12 mph and Jay 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. Susan and Mary are biking around a round trail which is 10 miles long. Susan bikes at 9 mph and Mary bikes at 11 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 9 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 Anne can bike 90 feet in 9 seconds, how many minutes will it take her to bike 2800 yards? 10. David drove his car at 60 mph for the same number of hours as that Eric drove his car at 50 mph. If David ended up driving 40 miles more than Eric, how many hours did they drive? |