Q.
T1, T2, T3 and T4 can do a job together in 8\/3 days. Time taken by T2 alone to complete the job is 2 days less than T4, while T2 is 87.5% more efficient than T1. Time taken by T3 and T4 together to complete the work is 60\/11 days.M = Find time taken by T2 and T3 together to complete the job.N = Find time taken by T5 to complete the job alone, if T2 and T5 together complete the job in 3 days.L= If T4 worked at twice of its efficiency and T1 worked at 75% of its efficiency, then find time taken by both together to complete the work.A.M > N > LB.M = N < LC.M < N = LD.M = N > LE.M < N > L<\/p><\/p>\n\n\n\n
Ans: M = N > L<\/span><\/p>\n\n\n\n Sol:<\/p>\n\n\n\n Let the total work = 240 units Time taken by T2 and T3 together to complete Q. T1, T2, T3 and T4 can do a job together in 8\/3 days. Time taken by T2 alone to complete the job is 2 days less than T4, while T2 is 87.5% more efficient than T1. Time taken by T3 and T4 together to complete the work is 60\/11 days.M = Find time taken […]<\/p>\n","protected":false},"author":419,"featured_media":162686,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-162685","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162685","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=162685"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162685\/revisions"}],"predecessor-version":[{"id":162687,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162685\/revisions\/162687"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162686"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162685"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162685"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162685"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=162685"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Efficiency of (T1 + T2 + T3 + T4) = [240 \/ (8\/3)] =
90 units\/day
Efficiency of (T3 + T4) = [240 \/ (60\/11)] = 44
units\/day
Efficiency of (T1 + T2) = 90 \u2013 44 = 46 units
Ratio of efficiency of T2 and T1 respectively =
15:8
So, efficiency of T2 = 46\/23 x 15 = 30 units\/day
Efficiency of T1 = 46 \u2013 30 = 16 units\/day
Time taken by T2 to complete the work = 240\/30
= 8 days
Time taken by T1 to complete the work = 240\/16
= 15 days
Time taken by T4 to complete the work = 8 + 2 =
10 days
Efficiency of T4 = 240\/10 = 24 units\/day
Efficiency of T3 = 44 \u2013 24 = 20 units\/day
For M,<\/p>\n\n\n\n
the work = 240\/ (50) = 4.8 days n
For N,
Efficiency of T2 = 30 units\/day
Efficiency of (T2 + T5) = 240\/3 = 80 units\/day
Efficiency of T5 = 80 \u2013 30 = 50 units\/day
Required time = 240\/50 = 4.8 days
For L,
New efficiency of T4 = 2 x 24 = 48 units\/day
New efficiency of T1 = 16 x 3\/4 = 12 units\/day
Required time = 240\/ (48 + 12) = 4 days
So, M = N > L
Hence the answer is option D<\/p>\n","protected":false},"excerpt":{"rendered":"