{"id":254733,"date":"2022-09-10T11:19:33","date_gmt":"2022-09-10T05:49:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-tank-full-of-water-has-a-small-hole-at-its-bottom-if-one-fourth-of-the-tank-is-emptied-in-t1-seconds-and-the-remaining-three-fourths-of-the-tank-is-emptied-in-t2-seconds-then-the-ratio\/"},"modified":"2022-09-10T11:19:33","modified_gmt":"2022-09-10T05:49:33","slug":"a-tank-full-of-water-has-a-small-hole-at-its-bottom-if-one-fourth-of-the-tank-is-emptied-in-t1-seconds-and-the-remaining-three-fourths-of-the-tank-is-emptied-in-t2-seconds-then-the-ratio","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-tank-full-of-water-has-a--small-hole-at-its-bottom-if-one\/","title":{"rendered":"A tank full of water has a  small hole at its bottom. If one fourth of the tank is emptied in t1     seconds and the remaining three-fourths of the tank is  emptied in t2     seconds. Then the ratio (t1t2)     is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A tank full of water has a small hole at its bottom. If one fourth of the tank is emptied in t1 seconds and the remaining three-fourths of the tank is emptied in t2 seconds. Then the ratio (t1t2) is","custom_permalink":"question\/physics\/a-tank-full-of-water-has-a--small-hole-at-its-bottom-if-one\/"},"categories":[],"acf":{"question":"<p>    A tank full of water has a  small hole at its bottom. If one fourth of the tank is emptied in <math><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><\/mrow><\/math><xml>     <\/xml>seconds and the remaining three-fourths of the tank is  emptied in <math><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/math><xml>     <\/xml>seconds. Then the ratio <math><mrow><mrow><mo>(<\/mo><mrow><mfrac><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><\/mrow><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfrac><\/mrow><mo>)<\/mo><\/mrow><\/mrow><\/math><xml>     <\/xml>is  <\/p>","options":[{"option":"<p>    <math><mrow><msqrt><mn>3<\/mn><\/msqrt><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":false},{"option":"<p>    <math><mrow><msqrt><mn>2<\/mn><\/msqrt><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":false},{"option":"<p>    <math><mrow><mfrac><mn>1<\/mn><mrow><msqrt><mn>2<\/mn><\/msqrt><\/mrow><\/mfrac><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":false},{"option":"<p>    <math><mrow><mrow><mo>[<\/mo><mrow><mfrac><mn>2<\/mn><mrow><msqrt><mn>3<\/mn><\/msqrt><\/mrow><\/mfrac><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><mo>]<\/mo><\/mrow><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":true}],"solution":"<p><math><mrow><mi>t<\/mi><mo>\u221d<\/mo><msqrt><mrow><msub><mi>h<\/mi><mn>1<\/mn><\/msub><\/mrow><\/msqrt><mo>\u2212<\/mo><msqrt><mrow><msub><mi>h<\/mi><mn>2<\/mn><\/msub><\/mrow><\/msqrt><\/mrow><\/math>&nbsp;&nbsp;<\/p><p>&nbsp;<math><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><mo>\u221d<\/mo><msqrt><mi>h<\/mi><\/msqrt><mo>\u2212<\/mo><msqrt><mrow><mfrac><mrow><mn>3<\/mn><mi>h<\/mi><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><\/msqrt><\/mrow><\/math>&nbsp;<\/p><p><math><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><mo>\u221d<\/mo><msqrt><mrow><mfrac><mrow><mn>3<\/mn><mi>h<\/mi><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><\/msqrt><mo>\u2212<\/mo><mn>0<\/mn><\/mrow><\/math>&nbsp; &nbsp;&nbsp;<\/p><p>&nbsp;<math><mrow><mfrac><mrow><msub><mi>t<\/mi><mn>1<\/mn><\/msub><\/mrow><mrow><msub><mi>t<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><msqrt><mi>h<\/mi><\/msqrt><mo>\u2212<\/mo><msqrt><mrow><mfrac><mrow><mn>3<\/mn><mi>h<\/mi><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><\/msqrt><\/mrow><mrow><msqrt><mrow><mfrac><mrow><mn>3<\/mn><mi>h<\/mi><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><\/msqrt><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><msqrt><mi>h<\/mi><\/msqrt><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><msqrt><mrow><mn>3<\/mn><mi>h<\/mi><\/mrow><\/msqrt><\/mrow><mrow><mfrac><mrow><msqrt><mrow><mn>3<\/mn><mi>h<\/mi><\/mrow><\/msqrt><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><\/mfrac><\/mrow><\/math><\/p><p><math><mrow><mo>=<\/mo><mfrac><mrow><msqrt><mi>h<\/mi><\/msqrt><\/mrow><mrow><msqrt><mi>h<\/mi><\/msqrt><\/mrow><\/mfrac><mrow><mo>[<\/mo><mrow><mfrac><mrow><mn>2<\/mn><mo>\u2212<\/mo><msqrt><mn>3<\/mn><\/msqrt><\/mrow><mrow><msqrt><mn>3<\/mn><\/msqrt><\/mrow><\/mfrac><\/mrow><mo>]<\/mo><\/mrow><\/mrow><\/math>&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mrow><mo>[<\/mo><mfrac><mn>2<\/mn><msqrt><mn>3<\/mn><\/msqrt><\/mfrac><mo>\u2212<\/mo><mn>1<\/mn><mo>]<\/mo><\/mrow><\/math><\/p><p>&nbsp;<\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A tank full of water has a small hole at its bottom. 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