Distance, Speed & Time (2)( Week 43 Evaluation) 1. In a train station, there are two tracks (A and B) going to a city. The earliest trains on both tracks leave for the city at 6:50 AM. After that the trains on track A leave for the city every 9 minutes and the trains on track B leave for the city every 14 minutes. If Smith arrives at the station at 8:25 AM, how many minutes will he have to wait for the next train? 2. George biked from his home to his high school at 5.2 miles per hour. When he returned home from school, using the same route, he biked at 4.8 miles per hour. If the total round trip took 15 minutes, what was the distance from his home to his school (in miles)? 4. The distance between place A and place B is 120 miles. Julia started to drive from place A to place B at 08:00 AM. The speed during the first half of the trip was 44 mph. The speed during the second half of the trip was 36 mph. How long (in hours) did it take Julia to get to place B from place A? 5. Steve climbed a mountain and then immediately descended on the same route. It took a total of 75 minutes. He descended the mountain 35 feet per minute faster than when climbing up. If the time taken for the descending was 20 minutes, what was the total distance (in feet) for the descending? 6. Two trains are driving toward each other. The faster one is driving at the speed of 23 meters per second. Its length is 200 meters. The slower one is driving at the speed of 17 meters per second. Its length is 240 meters. How many seconds will it take from the time they meet to the time they separate completely? 7. George went a round trip from his home to an airport to pick up a friend. It took a total of 2.5 hours including waiting 1 hour in the airport. He was able to drive 5 km/h faster to the airport than back from the airport. If the time was taken to get airport was 0.5 hours, what was the distance (in km) from George's home to the airport? 8. George can row 1430 meters against the current (upstream) in 13 minutes and row the same distance with the current (downstream) in 11 minutes. Find the speed of the current in meters per minute? 9. Julia drives at 38 miles per hour from place A to place B. After driving for 5 hours, the rest of the trip is 55 miles less than half of the trip. If Julia drives at 20 miles per hour from then on, how many more hours will it take Julia to get to place B? 10. It took Susan 120 minutes to get to place B from place A, and it took Joe 100 minutes to get to place B from place A. 17 minutes after Susan started out from place A, Joe also started out from place A. How long (in minutes) would it take for Joe to catch up with Susan? |