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Quantitative Aptitude - Arithmetic Ability/
Time and Work

Time and Work Questions

Popular Latest Rated Important Formulae

FACTS AND FORMULAE FOR TIME AND WORK QUESTIONS

1. If A can do a piece of work in n days, then A's 1 day's work = $\frac{1}{n}$

2. If A’s 1 day's work = $\frac{1}{n}$ , then A can finish the work in n days.

3. A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3 : 1.

Ratio of times taken by A and B to finish a work = 1 : 3.

NOTE :

$E f f i c i e n c y \propto \frac{1}{N o o f t i m e u n i t s}$

$∴ E f f i c i e n c y \times T i m e = C o n s \tan t W o r k$

Hence, $R e q u i r e d t i m e = \frac{W o r k}{E f f i c i e n c y}$

Whole work is always considered as 1, in terms of fraction and 100% , in terms of percentage.

In general, number of day's or hours = $\frac{100}{E f f i c i e n c y}$

One tap can fill a water tank in 50 mins and another tap can make the filled tank empty in 75 mins. If both the taps are open together, already half filled tank would be full in

A) 60 min	B) 75 min
C) 125 min	D) 150 min

A) 60 min

B) 75 min

C) 125 min

D) 150 min

Answer & Explanation Answer: B) 75 min

Explanation:

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1 2347

45 men or 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work?

A) 23	B) 45
C) 30	D) 25

A) 23

B) 45

C) 30

D) 25

Answer & Explanation Answer: C) 30

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2 2345

A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

A) 4 days	B) 6 days
C) 8 days	D) 12 days

A) 4 days

B) 6 days

C) 8 days

D) 12 days

Answer & Explanation Answer: D) 12 days

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6 2343

P and Q can do a project in 6 and 12 days respectively. In how many days can they complete 25% of the project if they work together?

A) 2 days	B) 4 days
C) 1 days	D) 8 days

A) 2 days

B) 4 days

C) 1 days

D) 8 days

Answer & Explanation Answer: C) 1 days

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1 2337

S, T and U together can complete a work in 30 days. If the ratio of efficiency of S, T and U is 20 : 15 : 12 respectively, then in how many days U alone can complete the same work?

A) 195/2	B) 235/2
C) 225/2	D) 215/2

A) 195/2

B) 235/2

C) 225/2

D) 215/2

Answer & Explanation Answer: B) 235/2

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7 2305

Type 1 workers are 2.5 times as efficient as type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 15 Type 2 workers to do the same work?

A) 13	B) 10
C) 12	D) 11

A) 13

B) 10

C) 12

D) 11

Answer & Explanation Answer: D) 11

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4 2288

50 men can complete a work in 28 days. They started the work together, but at the end of each 10th day, 10 men left the job. The work was completed in how many days?

A) 36	B) 38
C) 40	D) 45

A) 36

B) 38

C) 40

D) 45

Answer & Explanation Answer: C) 40

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3 2274

Painter 'A' can paint a house in 10 days and 'B' can do it in 20 days. With help of 'C', they did the job in 5 days only. Then, 'C' alone can do the job in: