Math Applications Quiz #C0 Name ------------------------------ Write the letter name of the answer to each of the following questions: 1. A commercial jet averaging 550 mph is airlifting 200 tons of food ---- and medical supplies to a third-world country 8,250 miles away. The supplies are transferred to a smaller, propeller-driven plane which averages only 200 mph but can land on the shorter, rural runways. The jet can carry 80,000 lb of cargo at a time, the prop, 4000 lb. The local runways average 60 mi from the main airport. It takes 2 hr to load or unload the larger transport, 30 min for the smaller. Cargo can be transferred directly from one plane to the other. If the airlift begins loading at 6:00 a.m. Monday and proceeds nonstop, at what time next Monday will the airlift portion of the operation, including the final unloading and return trip, be finished? 2. A track meet needs the following resources to set up and run its ---- events: 400 m run (25 min, running track), high jump (1 hr, jumping area), javelin (45 min, football field), 100 m sprint (20 min, running track), discus (40 min, football field), 5000 m run (35 min, running track), pole vault (1 hr 25 min, jumping area), 10,000 m run (55 min, running track), hammer throw (50 min, football field), steeplechase (1 hr 30 min, running track and football field), long jump (1 hr 15 min, jumping area). Allowing 1 hr to set up and 45 min to clean up, at what time will the meet have to start setting up in order for the football organizers to have the stadium at noon for the 1:00 p.m. game? 3. A teacher has 5 classes averaging 24 students each. She gives an 8- ---- page exam to each class. 3 pages are essays; the rest are fill-in. It takes her 30 sec to grade an objective page and 2 min to grade an essay page. The first exam is on Monday. If she starts grading at 2:30 p.m. each day, how late will she have to work each day, on the average, in order to turn her grades in by Friday morning? 4. A snowplow clears a driveway measuring 14 by 38 feet in 6 minutes. ---- The next job is to clear a parking lot measuring 190 by 280 feet. If the contractor starts this new job at 7:30 a.m., at about what time should the job be finished? 5. A train left Memphis at 10:57 a.m. CST and returned at 11:21 p.m. ---- CST with a layover in Atlanta of 20 min. A commuter took the train from Memphis to Atlanta but flew home because of an emergency. His total travel time was 6 hr 52 min. If the aircraft returned to Atlanta at 9:05 p.m. EST after a 1 hr layover in Memphis, at what time did the man return home? 6. An executive in San Diego receives a phone call at 8:05 a.m. PST to ---- return to the home office in St. Louis. At 11:06 a.m. EST, another executive in Boston gets a similar call. If each executive needs 2 hr to travel by company jet, when is the earliest they can meet? Possible answers: (Some answers may be used more than once or not at all.) A. 6:45 am C. 5:30 am E. 12:05 pm H. 5:25 pm K. 6:30 pm M. 3:00 am B. 5:25 am D. 6:30 am G. 6:45 pm J. 5:30 pm L. 12:06 pm N. 3:00 pm