{"id":1821,"date":"2024-07-04T14:15:48","date_gmt":"2024-07-04T14:15:48","guid":{"rendered":"https:\/\/pluschargo.com\/?p=1821"},"modified":"2024-07-04T14:15:48","modified_gmt":"2024-07-04T14:15:48","slug":"a-straight-highway-is-100-miles-long","status":"publish","type":"post","link":"https:\/\/motor.elfotograma.com\/en\/a-straight-highway-is-100-miles-long\/","title":{"rendered":"A Straight Highway is 100 Miles Long: Where to Build a Rest Area?"},"content":{"rendered":"
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Problem:<\/strong><\/p>\n

A straight highway is 100 miles long. Each mile is marked by a milepost numbered from 0 to 100. Where is the best place to build a rest area along the highway if it should be exactly 7 miles away from milepost 58?<\/p>\n

Solution:<\/strong><\/p>\n

To determine the optimal location for the rest area, we can use the following steps:<\/p>\n

Milepost Number of the Rest Area<\/h3>\n

The distance between the rest area and milepost 58 can be represented by the equation:<\/p>\n

|M - 58| = 7<\/code><\/p>\n

Where M is the milepost number of the rest area. Solving this equation gives two possible values for M:<\/p>\n

M = 51 or M = 65<\/code><\/p>\n

Rest Area Location<\/h3>\n

This means that the rest area can be built either 7 miles before milepost 58 or 7 miles after milepost 58. Therefore, the possible locations for the rest area are milepost 51 and milepost 65.<\/p>\n

Distance from Mileposts<\/h3>\n

The distance from milepost 51 to the rest area is 7 miles. Similarly, the distance from milepost 65 to the rest area is also 7 miles. This indicates that the rest area is equidistant from mileposts 51 and 65.<\/p>\n

Optimal Location<\/h3>\n

Based on the analysis above, the optimal location for the rest area is in the middle of the highway. Specifically, it should be located at:<\/p>\n

Milepost 58 \u00b1 7 miles<\/code><\/p>\n

This ensures that the rest area is easily accessible to drivers traveling in both directions, providing maximum convenience and safety.<\/p>\n

FAQ about the Highway Rest Area<\/h2>\n

Where will the rest area be built?<\/h3>\n

The rest area will be built 7 miles away from milepost 58, at either milepost 51 or milepost 65.<\/p>\n

Why are there two possible locations for the rest area?<\/h3>\n

The equation |M – 58|= 7 has two solutions, M = 51 and M = 65. This means that the rest area can be built either 7 miles before milepost 58 or 7 miles after milepost 58.<\/p>\n

Which milepost is the rest area closest to?<\/h3>\n

The rest area is equidistant from mileposts 51 and 65, so it is closest to both of them.<\/p>\n

How far is the rest area from the beginning and end of the highway?<\/h3>\n

The rest area is 51 miles from the beginning of the highway and 49 miles from the end of the highway.<\/p>\n

Is there more than one rest area on the highway?<\/h3>\n

No, there is only one rest area on the highway.<\/p>\n<\/div>\n

\n\"a-straight-highway-is-100-miles-long\"<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Characteristic<\/th>\nAdvice\/Key Points<\/th>\n<\/tr>\n<\/thead>\n
Highway length<\/td>\n100 miles<\/td>\n<\/tr>\n
Milepost numbering<\/td>\n0 to 100<\/td>\n<\/tr>\n
Rest area distance from milepost 58<\/td>\n7 miles<\/td>\n<\/tr>\n
Possible milepost numbers for rest area<\/td>\n51 or 65<\/td>\n<\/tr>\n
Distance from milepost 51 to rest area<\/td>\n7 miles<\/td>\n<\/tr>\n
Distance from milepost 65 to rest area<\/td>\n7 miles<\/td>\n<\/tr>\n
Rest area location<\/td>\nMiddle of the highway<\/td>\n<\/tr>\n
Rest area proximity to milepost 58<\/td>\nNot at milepost 58<\/td>\n<\/tr>\n
Rest area proximity to endpoints<\/td>\nNot at milepost 0 or 100<\/td>\n<\/tr>\n
Rest area uniqueness<\/td>\nOnly one rest area on the highway<\/td>\n<\/tr>\n
Rest area permanency<\/td>\nPermanent structure<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Problem: A straight highway is 100 miles long. Each mile is marked by a milepost numbered from 0 to 100. Where is the best place to build a rest area along the highway if it should be exactly 7 mil","protected":false},"author":1,"featured_media":898,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-1821","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articulos"],"_links":{"self":[{"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/posts\/1821","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/comments?post=1821"}],"version-history":[{"count":1,"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/posts\/1821\/revisions"}],"predecessor-version":[{"id":2838,"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/posts\/1821\/revisions\/2838"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/media\/898"}],"wp:attachment":[{"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/media?parent=1821"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/categories?post=1821"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/motor.elfotograma.com\/en\/wp-json\/wp\/v2\/tags?post=1821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}