a2zinterviews

11.	Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
	A.   7 hours 30 minutes
	B.  8 hours
	C.  8 hours 15 minutes
	D.  8 hours 25 minutes

Solution

Number of pages typed by ronald in 1 hour = 32/6 = 16/3. Number of pages typed by elan in 1 hour = 40/5 = 8. Number of pages typed by both in 1 hour = (16/3+8) =40/3. Time taken by both to type 110 pages = (110×3/40)hrs = 8×1/4hrs = 8 hrs 15 min.

12.	A can finish a work in 18 days and B can do the same in half the time taken by A. Then working together, what part of the same work they can finish in a day?
	A.  1/6
	B.  1/9
	C.  2/5
	D.  2/7

Solution

A's 1 day's work = 1/18 and B's 1 day's work = 1/9 (A+B)'s 1 day's work = (1/18+1/9) = 1/6

13.	P can complete a work in 12 days working 8 hours a day, Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day. In how many days can they complete the work?
	A.  5x5/11
	B.  5x6/11
	C.  6x5/11
	D.  6x6/11

Solution

P can complete the work in (12x 8) hrs = 96 hrs. Q can complete the work in (8x 10) hrs = 80 hrs. P's 1 hour's work = 1/96 Q's 1 hrs work = 1/80 (P+Q)'s 1 hour's work = (1/96+1/80) = 11/480. So, both P and Q will finish the work in =(480/11) hrs. Number of days of 8 hours each =(480/11x1/8) hrs. = 60/11 days =5x5/11 days.

14.	A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in
	A.  1/24 day
	B.  7/24 day
	C.  3x3/7 days
	D.  4 days

Solution

(A+B+C)'s 1 day's work = (1/24+1/6+1/12) = 7/24. So, A,B and C together will complete the job in 24/7 = 3x3/7 days.

15.	A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in
	A.  9x1/5 days
	B.  9x2/5 days
	C.  9x3/5 days
	D.  10 days

Solution

(A+B+C)'s 1 day's work = 1/4 A's 1 day's work = 1/16 B's 1 day's work = 1/12 C's 1 day's work = 1/4-(1/16+1/12) = (1/4 - 7/48) = 5/48. So,C alone can do the work in 48/5 =9x3/5 days.