{"id":89207,"date":"2025-06-01T09:58:06","date_gmt":"2025-06-01T09:58:06","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89207"},"modified":"2025-06-01T09:58:06","modified_gmt":"2025-06-01T09:58:06","slug":"a-completes-a-work-in-10-days-while-b-and-c-complete-it-in-12-a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-completes-a-work-in-10-days-while-b-and-c-complete-it-in-12-a\/","title":{"rendered":"‘A’ completes a work in 10 days, while ‘B’ and ‘C’ complete it in 12 a"},"content":{"rendered":"

‘A’ completes a work in 10 days, while ‘B’ and ‘C’ complete it in 12 and 15 days respectively. In how many days can ‘A’, ‘B’ and ‘C’ together complete the work ?<\/p>\n

[amp_mcq option1=”3″ option2=”4″ option3=”5″ option4=”6″ correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2009<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\n‘A’, ‘B’, and ‘C’ together can complete the work in 4 days.
\n<\/section>\n
\nTo find the time taken when working together, we calculate the individual daily work rates, sum them up to find the combined daily rate, and then find the reciprocal of the combined rate.
\n<\/section>\n
\nA’s daily work rate = 1\/10. B’s daily work rate = 1\/12. C’s daily work rate = 1\/15.
\nCombined daily work rate = 1\/10 + 1\/12 + 1\/15.
\nFinding a common denominator (LCM of 10, 12, 15 is 60):
\nCombined rate = (6\/60) + (5\/60) + (4\/60) = 15\/60 = 1\/4.
\nThey complete 1\/4 of the work per day.
\nTime taken to complete the whole work = 1 \/ (Combined rate) = 1 \/ (1\/4) = 4 days.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

‘A’ completes a work in 10 days, while ‘B’ and ‘C’ complete it in 12 and 15 days respectively. In how many days can ‘A’, ‘B’ and ‘C’ together complete the work ? [amp_mcq option1=”3″ option2=”4″ option3=”5″ option4=”6″ correct=”option2″] This question was previously asked in UPSC CAPF – 2009 Download PDFAttempt Online ‘A’, ‘B’, and … <\/p>\n

Detailed Solution‘A’ completes a work in 10 days, while ‘B’ and ‘C’ complete it in 12 a<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1462,1102],"class_list":["post-89207","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1462","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\n'A' completes a work in 10 days, while 'B' and 'C' complete it in 12 a<\/title>\n<meta name=\"description\" content=\"'A', 'B', and 'C' together can complete the work in 4 days. 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