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Word Problems:- 1. An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach -350 m deep from the ground? 2. The temperature of town A at 4 p.m. was 41°C above zero. The temperature recorded at 10 p.m. was 29°C. If the temperature falls at a constant rate per hour, find the fall in temperature per hour. |
| Answer» <html><body><p><strong>Answer:</strong></p><p><strong>1</strong><strong>)</strong><strong> </strong><strong>1</strong><strong> </strong><strong>h</strong><strong>o</strong><strong>u</strong><strong>r</strong></p><p><strong><a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a></strong><strong>)</strong><strong> </strong><strong>2</strong><strong> </strong><strong>h</strong><strong>o</strong><strong>u</strong><strong>r</strong></p><p><strong>Step-by-step explanation:</strong></p><p><strong>1</strong><strong>)</strong><strong> </strong><strong>G</strong><strong>i</strong><strong>v</strong><strong>e</strong><strong>n</strong><strong> </strong><strong>:</strong><strong>-</strong></p><p>Initial height = 10m</p><p>Final depth = 350m</p><p><strong>N</strong><strong>o</strong><strong>t</strong><strong>e</strong><strong> </strong><strong>:</strong><strong>-</strong><strong> </strong>Distance descended in denoted by a '-ve' integer.</p><p><strong>N</strong><strong>o</strong><strong>w</strong><strong> </strong><strong>:</strong><strong>-</strong></p><p>Distance to be descended :</p><p>=> x = (-350) - (10)</p><p>=> x = -350 - 10</p><p>=><u> </u><u>x = -360</u><u>m</u></p><p><strong><u>S</u></strong><strong><u>o</u></strong><strong><u>,</u></strong></p><p>Total distance to be descended by the elevator is -360m.</p><p><strong>T</strong><strong>h</strong><strong>u</strong><strong>s</strong><strong>,</strong><strong> </strong></p><p>To descend -360m, time taken by elevator is :</p><p>=> x = -360/-6 </p><p>=> x = 60</p><p><strong>W</strong><strong>e</strong><strong> </strong><strong>k</strong><strong>n</strong><strong>o</strong><strong>w</strong><strong> </strong><strong>t</strong><strong>h</strong><strong>a</strong><strong>t</strong><strong> </strong><strong>:</strong><strong>-</strong></p><p><u>60 minutes = 1 hour</u></p><p>Therefore answer = <strong>1 hour</strong></p><p></p><p><strong>2</strong><strong>)</strong><strong> </strong><strong>A</strong><strong>n</strong><strong>s</strong><strong> </strong><strong>:</strong><strong>-</strong></p><p>=> The <a href="https://interviewquestions.tuteehub.com/tag/fall-983217" style="font-weight:bold;" target="_blank" title="Click to know more about FALL">FALL</a> in <a href="https://interviewquestions.tuteehub.com/tag/temperature-11887" style="font-weight:bold;" target="_blank" title="Click to know more about TEMPERATURE">TEMPERATURE</a> is 2° per hour.</p><p>=> Time taken fall in temperature is <u>10 - 4 = 6</u></p><p>=><strong> </strong>Temperature fall in 6 hours = <u>41 - <a href="https://interviewquestions.tuteehub.com/tag/29-299821" style="font-weight:bold;" target="_blank" title="Click to know more about 29">29</a> </u></p><p><u>= 12</u></p><p>=> Fall in temperature hour = 12/6 = <strong>2 hour</strong> <u><strong>A</strong><strong>n</strong><strong>s</strong></u><strong><u>.</u></strong></p></body></html> | |