Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 140 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. Hillary starts out at the starting point of a trail at 6 meters per second, and 8 seconds later David starts out at the same point at the speed of 8 meters per second. In how many seconds will David catch up with Hillary? 3. Richard and Morgan start together and race their bikes around a circular trial at constant speeds. It will take Richard 8 minutes to go 1 lap, and it will take Morgan 6 minutes for a lap. How long will it take Morgan to be exactly 1 lap ahead of Richard (in minutes)? 4. The length of a bridge is 1580 meters. A train crossed the bridge at 400 meters per minute. It took the train 5.2 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Julia 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. Kevin and David are biking around a round trail which is 8 miles long. Kevin bikes at 10 mph and David 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. Emily and Alice are biking around a round trail which is 6 miles long. Emily bikes at 10 mph and Alice bikes at 10 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 5 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 Julia can bike 54 feet in 6 seconds, how many minutes will it take her to bike 900 yards? 10. Rene drove his car at 44 mph for the same number of hours as that Jay drove his car at 50 mph. If Rene ended up driving 36 miles less than Jay, how many hours did they drive? |