Distance Problems (2)( Week 48 Evaluation) 1. The length of a train is 104 meters. It is driven at the speed of 26 meters per second. How many seconds will it take for the train to pass a 494-meter long tunnel (from entering to completely exiting from the tunnel)? 2. Emily starts out at the starting point of a trail at 5 meters per second, and 1 seconds later Tom starts out at the same point at the speed of 6 meters per second. In how many seconds will Tom catch up with Emily? 3. Tom and Susan 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 Susan 4 minutes for a lap. How long will it take Susan to be exactly 1 lap ahead of Tom (in minutes)? 4. The length of a bridge is 740 meters. A train crossed the bridge at 300 meters per minute. It took the train 2.8 minutes to cross the bridge (from entering to completely exiting the bridge). What is the length of the train in meters? 5. Anne 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 8 miles long. Rene bikes at 10 mph and Jay 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 8 miles long. Emily bikes at 9 mph and Alice 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 30 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 Alice can bike 40 feet in 5 seconds, how many minutes will it take her to bike 1920 yards? 10. Eric drove his car at 48 mph for the same number of hours as that Richard drove his car at 55 mph. If Eric ended up driving 63 miles less than Richard, how many hours did they drive? |