100+ Time and Work Aptitude Questions and Answers Pdf - 2

Question: 6

A is twice as good a workman as B. If they work together, they can complete a job in 18 days. If A alone does the job, in how many days he will complete the job?

(A) 25 days

(B) 27 days

(D) 54 days

View Answer

Ans: B

(A’s in day’s work) : (B’s 1 day’s work) = 2 : 1.

(A + B)’s 1 day’s work = $${1} / {18}$$.

∴ A’s 1 day’s work = $$({1} /{18} × {2} / {3})$$ = $${1}/ {27}$$.

Hence, A alone can finish the work in 27 days.

Question: 7

Work done by A in one day is half of the work done by B in one day. Work done by B is half of the work done by C in one day. If C alone can complete the work in 7 days, in how many days can A, B and C together complete the work?

(A) 1

(B) 4

(D) 12

View Answer

Ans: B

C’s 1 day’s work = $${1} / {7}$$, B’s 1 day’s work = $$({1} /{2} × {1} / {7})$$ = $${1}/ {14}$$

A’s 1 day’s work = $$({1} / {2} × {1} / {14)$$ = $${1} / {28}$$.

∴ (A + B+ C)’s 1 day’s work = $$({1} / {28} + {1} / {14} + {1} / {7})$$ = $${7} / {28}$$ = $${1} / {4}$$.

Hence A, B and C together can complete the work in 4 days.

Question: 8

A man and a boy received Rs. 800 as wages for 5 day for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy?

(A) Rs. 20

(B) Rs. 40

(D) Rs. 80

View Answer

Ans: B

Ratio of 1 day’s work of man and boy = 3 : 1.

Total wages of the boy = Rs. $$(800 × {1} / {4})$$ = Rs. 200.

∴ Daily wages of the boy = $$({200} / {5})$$ = Rs. 40.

Question: 9

A can do a piece of work in 10 days working 8 hours per day. If B is two thirds as efficient as A, then in how many days can B alone do the same piece of work, working 5 hours per day?

(A) 18

(B) 24

(D) 28

View Answer

Ans: B

Time taken by A alone to do the work = (10 × 8) hrs = 80hrs.

Since B is two thirds as efficient as A, so time taken by B to do the work = $$(80 × {3} / {2})$$hrs = 120 hrs.

∴ Required time = $$({120} / {5})$$days = 24 days.

Question: 10

Ayesha can complete a piece of work in 16 days. Amita can complete the same piece of work in 8 days. If both of them work together in how many days can they complete the same piece of work?

(A) $$5{1} /{3}$$ days

(B) 6 days

(D) 14 days

View Answer

Ans: A

Ayesha’s 1 day’s work = $${1} /{16}$$,

Amita’s 1 day’s work = $${1} / {8}$$

(Ayesha + Amita)’s 1 day’s work = $$({1} /{16} + {1} /{8})$$ = $${3}/{16}$$.

∴ Both together can complete the work in $${16} / {3}$$ = $$5{1}/{3}$$ days.

100+ Time and Work Aptitude Questions and Answers Pdf - 2

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