Problem 51808. Determine when snow started

Created by ChrisR

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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 135.25px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 67.625px; transform-origin: 407px 67.625px; vertical-align: baseline; "><div style="block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.333px 7.91667px; transform-origin: 367.333px 7.91667px; unicode-bidi: normal; "><span style="">R.P. Agnew posed the following problem: It starts snowing in the morning and continues steadily throughout the day. A snowplow that removes snow at a constant rate starts plowing at noon. It plows 2 miles in the first hour and 1 mile in the second.</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.91667px; transform-origin: 3.88333px 7.91667px; unicode-bidi: normal; "><span style="">  </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.2917px 7.91667px; transform-origin: 95.2917px 7.91667px; unicode-bidi: normal; "><span style="">What time did it start snowing?</span></span></div><div style="block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.275px 7.91667px; transform-origin: 380.275px 7.91667px; unicode-bidi: normal; "><span style="">Write a function to solve this problem. The inputs will be the time the snowplow started (given as a string), two consecutive time intervals </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="dt1" style="width: 23px; height: 20px;" width="23" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; "><span style=""> and </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="dt2" style="width: 23px; height: 20px;" width="23" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.675px 7.91667px; transform-origin: 60.675px 7.91667px; unicode-bidi: normal; "><span style="">, and the distances </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="dx1" style="width: 25.5px; height: 20px;" width="25.5" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; "><span style=""> and </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="dx2" style="width: 25.5px; height: 20px;" width="25.5" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 184.625px 7.91667px; transform-origin: 184.625px 7.91667px; unicode-bidi: normal; "><span style=""> traveled in the first and second time intervals, respectively. Return the time that the snow started, rounded to the nearest minute, as a string.</span></span></div></div></div>

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Problem 51808. Determine when snow started

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