Lesson How many mail trucks will a mail truck meet on its trip
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<H2>How many mail trucks will a mail truck meet on its trip</H2> <H3>Problem 1</H3>Every hour on the hour, beginning at midnight, a mail truck leaves Winnipeg for Regina, and also a mail truck leaves Regina to Winnipeg. The distance between Winnipeg and Regina is 561 km, and every truck averages 80 km/h. Find the number of mail trucks that a mail truck leaving from Winnipeg at 5 a.m. will meet on its trip to Regina. <B>Solution</B> <pre> 1. The time for each truck to cover 561 km is slightly more than {{{560/80}}} = 7 hours. I will refer to this duration as 7+ hours. 2. When the truck "T" is going to start at 5:00 am from Winnipeg, exactly 7 trucks are just on the way from Regina to Winnipeg, without counting the truck which will start at 5:00 am from Regina. At 5:00 am, these 7 trucks are at the distance 80, 160, 240, 320, 400, 480 and 560 kilometers from Regina. Our truck "T" will meet all these 7 trucks. 3. In addition to it, on the way from W to R our truck "T" will meet all the trucks that will leave Regina at 5:00 and during 7+ hours after that, i.e. at 5:00 am, 6:00 am, 7:00 am, 8:00 am, 9:00 am, 10:00 am, 11:00 am, and at the noon. There are 8 trucks in this list. 4. In all, the truck "T" will meet 7 + 8 trucks = 15 trucks. <U>Answer</U>. 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