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 5:15 AM. After that the trains on track A leave for the city every 7 minutes and the trains on track B leave for the city every 13 minutes. If Josh arrives at the station at 8:50 AM, how many minutes will he have to wait for the next train? 2. Josh biked from his home to his high school at 6.6 miles per hour. When he returned home from school, using the same route, he biked at 3.4 miles per hour. If the total round trip took 20 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. Emily started to drive from place A to place B at 08:00 AM. The speed during the first half of the trip was 32 mph. The speed during the second half of the trip was 48 mph. How long (in hours) did it take Emily to get to place B from place A? 5. Larry climbed a mountain and then immediately descended on the same route. It took a total of 78 minutes. He descended the mountain 25 feet per minute faster than when climbing up. If the time taken for the descending was 24 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 360 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 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 Josh's home to the airport? 8. Edward can row 800 meters against the current (upstream) in 10 minutes and row the same distance with the current (downstream) in 8 minutes. Find the speed of the current in meters per minute? 9. Morgan drives at 36 miles per hour from place A to place B. After driving for 5 hours, the rest of the trip is 45 miles less than half of the trip. If Morgan drives at 30 miles per hour from then on, how many more hours will it take Morgan to get to place B? 10. It took Hillary 80 minutes to get to place B from place A, and it took Ed 60 minutes to get to place B from place A. 6 minutes after Hillary started out from place A, Ed also started out from place A. How long (in minutes) would it take for Ed to catch up with Hillary? |