Distance, Speed & Time (3)( Week 48 Evaluation) 2. A train needs 97 seconds to cross (from entering to completely exiting the bridge) a 1377-meter long bridge. At the same speed, it needs 106 seconds to cross a 1620-meter long tunnel. What is the length of the train in meters? 4. John and his dad were riding a tandem bike in a round training trail. During the first lap, only John pedaled and the tandem bike traveled at 4 MPH. During the second lap, only his dad pedaled and the tandem bike traveled at 12 MPH. During the third lap, John and his dad both pedaled and the tandem bike traveled at 24 MPH. What was the average speed (in MPH) for the entire 3 laps? 5. The distance between place A and place B is 595 miles. A car drove at an average speed of 35 mph from place A to place B. During the trip, the car broke down, and it took 2 hours to fix it. In order to get to place B on time, the car has to drive at 40 mph. How many miles away from place A was the car when it broke down? 6. Tom was running on a 1485-meter trail. He ran at 5 meters per second for the first half time and at 4 meters per second for the other half time. How many seconds did it take for him to finish the 2nd half of the distance? 7. The ratio of Alice's walking speed to Edward's walking speed was 12:8. If they walked towards each other at the same time, they would meet each other after 12 minutes. If they started out at the same time to the same direction, and Alice was behind Edward, how long (in minutes) would it take Alice to catch up with Edward? 8. Ed, Ben, and Josh decided to go to place B from place A. Ed and Ben started out at 8:00 am. Ed drove at 50 mph, and Ben drove at 25 mph. Josh started out at 10:00 am. Ed and Josh arrived at place B at noon together. How many minutes later did Josh catch up with Ben after Josh started out? Round up to the next whole minutes if the result is a decimal. 9. Richard walked at 39 meters per minute, Ed walked at 45 meters per minute, and Ben walked at 49 meters per minute. Richard and Ed started out from place B together, and Ben started out from place A (behind B) at the same time in same direction as Richard and Ed. Some time later, he caught up with Richard, and then 6 more minutes later, he caught up with Ed. Find the distance (in meters) between place A and place B. 10. A car was driven at an average speed of 40 miles per hour from place A to place B. After it got to place B, it was driven back immediately at an average speed of 60 miles per hour. The total time of the entire trip was 5 hours. How far (in miles) was the distance between place A and place B? |