X takes twice as much time as Y or thrice as much time as Z to finish a job. Working together, the trio can finish the job in 2 days. Y alone can do the work in ______.

Challenger App

No.1 PSC Learning App

★

★

★

★

★

1M+ Downloads

X takes twice as much time as Y or thrice as much time as Z to finish a job. Working together, the trio can finish the job in 2 days. Y alone can do the work in ______.

A6

B12

C18

D15

Answer:

A. 6

Read Explanation:

Solution: Given: Time taken by X = 2 × Time taken by Y Time taken by X = 3 × Time taken by Z Time to complete work together = 2 days Concept used: Efficiency to do a work is inversely proportional to time taken for the same. Total work = Time × Efficiency Calculation: According to the question, Time ratio, X : Y : Z = 6 : 3 : 2 So, Efficiency ratio = 1/6 : 1/3 : 1/2 Multiply each term by 6 ⇒ Efficiency ratio = 6/6 : 6/3 : 6/2 = 1 : 2 : 3 Combined efficiency = 6 units So, total work = 6 units × 2 = 12 units Efficiency 'of Y = 2 units So, time taken by Y alone to do the work = 12/2 = 6 days ∴ Y will finish the work alone in 6 days.

Read more in App

Related Questions:

A pipe can fill a tank in 9 hours. Another pipe can empty the filled tank in 63 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be two-third filled, is:

A and B undertake to complete a piece of work for ₹600. A alone can complete it in 4 days while B alone can complete it in 6 days. With the help of C, they finish the work in 2 days. Find the share of C in the payment received.

If two pipes can fill a tank in 20 minutes & 30 minutes respectively. If both the pipes are opened simultaneously, then the tank will be filled in

ഒരു ടാങ്ക് അതിന്റെ 3/4 ഭാഗം വെള്ളം നിറച്ചിരിയ്ക്കുന്നു. 5 ലിറ്റർ വെള്ളം കൂടി ഒഴിച്ചാൽ അതിന്റെ 4/5 ഭാഗം നിറയുമെങ്കിൽ ടാങ്കിന്റെ യഥാർത്ഥ ശേഷി എത്ര ?

A can do $33\frac{1}{3}$ % of a work in 10 days and B can do $66\frac{2}{3}$ % of the same work in 8 days. Both together worked for 8 days then C alone completes the remaining work in 3 days. A and C together will complete $\frac{5}{6}$ part of the original work in: