Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 112 meters. It is driven at the speed of 28 meters per second. How many seconds will it take for the train to pass a 336-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Laura starts out at the starting point of a trail at 4 meters per second, and 4 seconds later Steve starts out at the same point at the speed of 6 meters per second. In how many seconds will Steve catch up with Laura? 3. Ben and Helen start together and race their bikes around a circular trial at constant speeds. It will take Ben 6 minutes to go 1 lap, and it will take Helen 4 minutes for a lap. How long will it take Helen to be exactly 1 lap ahead of Ben (in minutes)? 4. The length of a bridge is 1425 meters. A train crossed the bridge at 550 meters per minute. It took the train 3.5 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Jane 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. Edward and John are biking around a round trail which is 4 miles long. Edward bikes at 12 mph and John 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. Hillary and Laura are biking around a round trail which is 12 miles long. Hillary bikes at 9 mph and Laura bikes at 7 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 Sofia can bike 49 feet in 7 seconds, how many minutes will it take her to bike 980 yards? 10. Ed drove his car at 58 mph for the same number of hours as that Ben drove his car at 49 mph. If Ed ended up driving 36 miles more than Ben, how many hours did they drive? |