{"id":617429,"date":"2023-06-20T11:45:00","date_gmt":"2023-06-20T06:15:00","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-circular-track-around-a-sports-ground-has-circumference-of-1080-m-two-cyclists-paurush-and-shreyan-start-together-and-cycled-at-constant-speeds-of-6-m-s\/"},"modified":"2025-06-26T12:32:36","modified_gmt":"2025-06-26T07:02:36","slug":"a-circular-track-around-a-sports-ground-has-circumference-of-1080-m-two-cyclists-paurush-and-shreyan-start-together-and-cycled-at-constant-speeds-of-6-m-s","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/a-circular-track-around-a-sports-ground-has-circumference-of\/","title":{"rendered":"A circular track around a sports ground has circumference of 1080\u00a0m \u00a0. Two cyclists Paurush and Shreyan start together and cycled at constant speeds of 6\u00a0m\/s \u00a0 and 9\u00a0m\/s \u00a0 respectively around the circular track. After how many minutes will they meet again at the starting point?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A circular track around a sports ground has circumference of 1080\u00a0m \u00a0. Two cyclists Paurush and Shreyan start together and cycled at constant speeds of 6\u00a0m\/s \u00a0 and 9\u00a0m\/s \u00a0 respectively around the circular track. After how many minutes will they meet again at the starting point?","custom_permalink":"question\/mathematics\/a-circular-track-around-a-sports-ground-has-circumference-of\/"},"categories":[],"acf":{"question":"

A circular track around a sports ground has circumference of <\/span>\r\n\r\n \r\n \r\n 1080<\/m:mn> <\/m:mo>m<\/m:mtext><\/m:mrow>\r\n <\/m:semantics><\/math> . Two cyclists Paurush and Shreyan start together and cycled at constant speeds of <\/span>\r\n\r\n \r\n \r\n 6<\/m:mn> <\/m:mo>m<\/m:mtext>\/<\/m:mo>s<\/m:mtext><\/m:mrow>\r\n <\/m:semantics><\/math>  and <\/span>\r\n\r\n \r\n \r\n 9<\/m:mn> <\/m:mo>m<\/m:mtext>\/<\/m:mo>s<\/m:mtext><\/m:mrow>\r\n <\/m:semantics><\/math>  respectively around the circular track. After how many minutes will they meet again at the starting point?<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt\">","options":[{"option":"3<\/span>","correct":false},{"option":"6<\/span>","correct":true},{"option":"7<\/span>","correct":false},{"option":"9<\/span> <\/span>","correct":false}],"solution":"Given that, the circumference of circular track=1080m.<\/span>
Speed of Paurush= 6 m\/s.<\/span>
Speed of Shreyan= 9 m\/s. <\/span>
We'll now figure out how long it takes Paurush and Shreyan to complete one lap of the track. <\/span>
\"\"\"\"We need to determine the LCM of 180 and 120 in order to determine the requisite time taken,<\/span>
\r\n\r\n \r\n \r\n \r\n \r\n \u21d2<\/m:mo>180<\/m:mn>=<\/m:mo>2<\/m:mn>\u00d7<\/m:mo>2<\/m:mn>\u00d7<\/m:mo>3<\/m:mn>\u00d7<\/m:mo>3<\/m:mn>\u00d7<\/m:mo>5<\/m:mn>=<\/m:mo>\r\n 2<\/m:mn>\r\n 2<\/m:mn>\r\n <\/m:msup>\r\n \u00d7<\/m:mo>\r\n 3<\/m:mn>\r\n 2<\/m:mn>\r\n <\/m:msup>\r\n \u00d7<\/m:mo>5<\/m:mn>\r\n <\/m:mtd>\r\n <\/m:mtr>\r\n \r\n \r\n \u21d2<\/m:mo>120<\/m:mn>=<\/m:mo>2<\/m:mn>\u00d7<\/m:mo>2<\/m:mn>\u00d7<\/m:mo>2<\/m:mn>\u00d7<\/m:mo>3<\/m:mn>\u00d7<\/m:mo>5<\/m:mn>=<\/m:mo>\r\n 2<\/m:mn>\r\n 3<\/m:mn>\r\n <\/m:msup>\r\n \u00d7<\/m:mo>3<\/m:mn>\u00d7<\/m:mo>5<\/m:mn>\r\n <\/m:mtd>\r\n <\/m:mtr>\r\n <\/m:mtable>\r\n \r\n <\/m:semantics><\/math>  <\/span>\r\n\r\n \r\n \r\n \r\n \r\n L<\/m:mi>C<\/m:mi>M<\/m:mi>\r\n \r\n 180<\/m:mn>,<\/m:mo>120<\/m:mn><\/m:mrow>\r\n <\/m:mfenced>=<\/m:mo>\r\n 2<\/m:mn>\r\n 3<\/m:mn>\r\n <\/m:msup>\r\n \u00d7<\/m:mo>\r\n 3<\/m:mn>\r\n 2<\/m:mn>\r\n <\/m:msup>\r\n \u00d7<\/m:mo>5<\/m:mn>\r\n <\/m:mtd>\r\n <\/m:mtr>\r\n \r\n \r\n \u21d2<\/m:mo>8<\/m:mn>\u00d7<\/m:mo>9<\/m:mn>\u00d7<\/m:mo>5<\/m:mn>\r\n <\/m:mtd>\r\n <\/m:mtr>\r\n \r\n \r\n \u21d2<\/m:mo>360<\/m:mn>\r\n <\/m:mtd>\r\n <\/m:mtr>\r\n <\/m:mtable>\r\n \r\n <\/m:semantics><\/math>  <\/span>Now, calculate the time,<\/span>
\"\"As a result, Paurush and Shreyan will meet at the starting spot after 6 minutes. <\/span>
Therefore, option 2 is correct.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nA circular track around a sports ground has circumference of 1080\u00a0m \u00a0. Two cyclists Paurush and Shreyan start together and cycled at constant speeds of 6\u00a0m\/s \u00a0 and 9\u00a0m\/s \u00a0 respectively around the circular track. After how many minutes will they meet again at the starting point? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A circular track around a sports ground has circumference of 1080\u00a0m \u00a0. Two cyclists Paurush and Shreyan start together and cycled at constant speeds of 6\u00a0m\/s \u00a0 and 9\u00a0m\/s \u00a0 respectively around the circular track. 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