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 6:30 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 18 minutes. If Smith arrives at the station at 7:20 AM, how many minutes will he have to wait for the next train? 2. Larry biked from his home to his high school at 6 miles per hour. When he returned home from school, using the same route, he biked at 4 miles per hour. If the total round trip took 30 minutes, what was the distance from his home to his school (in miles)? 4. The distance between place A and place B is 160 miles. Laura started to drive from place A to place B at 08:00 AM. The speed during the first half of the trip was 27 mph. The speed during the second half of the trip was 53 mph. How long (in hours) did it take Laura to get to place B from place A? 5. Richard climbed a mountain and then immediately descended on the same route. It took a total of 102 minutes. He descended the mountain 25 feet per minute faster than when climbing up. If the time taken for the descending was 36 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 26 meters per second. Its length is 120 meters. The slower one is driving at the speed of 14 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. John went a round trip from his home to an airport to pick up a friend. It took a total of 3.5 hours including waiting 1 hour in the airport. He was able to drive 10 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 John's home to the airport? 8. Rene 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. Anne drives at 44 miles per hour from place A to place B. After driving for 3 hours, the rest of the trip is 33 miles less than half of the trip. If Anne drives at 22 miles per hour from then on, how many more hours will it take Anne to get to place B? 10. It took Jane 100 minutes to get to place B from place A, and it took Nick 80 minutes to get to place B from place A. 9 minutes after Jane 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 Jane? |