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 5:10 AM. After that the trains on track A leave for the city every 6 minutes and the trains on track B leave for the city every 11 minutes. If Jay arrives at the station at 8:10 AM, how many minutes will he have to wait for the next train? 2. Nick biked from his home to his high school at 5.6 miles per hour. When he returned home from school, using the same route, he biked at 4.4 miles per hour. If the total round trip took 25 minutes, what was the distance from his home to his school (in miles)? 4. The distance between place A and place B is 80 miles. Alice started to drive from place A to place B at 08:00 AM. The speed during the first half of the trip was 50 mph. The speed during the second half of the trip was 30 mph. How long (in hours) did it take Alice to get to place B from place A? 5. Curtis climbed a mountain and then immediately descended on the same route. It took a total of 160 minutes. He descended the mountain 20 feet per minute faster than when climbing up. If the time taken for the descending was 64 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 28 meters per second. Its length is 200 meters. The slower one is driving at the speed of 12 meters per second. Its length is 320 meters. How many seconds will it take from the time they meet to the time they separate completely? 7. Josh went a round trip from his home to an airport to pick up a friend. It took a total of 4 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 1 hours, what was the distance (in km) from Josh's home to the airport? 8. Larry can row 1200 meters against the current (upstream) in 12 minutes and row the same distance with the current (downstream) in 10 minutes. Find the speed of the current in meters per minute? 9. Jessica drives at 46 miles per hour from place A to place B. After driving for 5 hours, the rest of the trip is 67 miles less than half of the trip. If Jessica drives at 24 miles per hour from then on, how many more hours will it take Jessica to get to place B? 10. It took Julia 120 minutes to get to place B from place A, and it took Nick 100 minutes to get to place B from place A. 8 minutes after Julia started out from place A, Nick also started out from place A. How long (in minutes) would it take for Nick to catch up with Julia? |