# Time and Work Questions

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 :

Hence,

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 = $\frac{100}{Efficiency}$

Q:

Amar is 2 times as good a workman as Badal and therefore is able to finish a job in 15 days less than Badal. In how many days can they together complete the job?

 A) 30 days B) 40 days C) 10 days D) 20 days

Explanation:

2 122
Q:

X, Y and Z can do a piece of work in 30,40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

 A) 660/47 B) 640/47 C) 680/47 D) 665/47

Explanation:

1 120
Q:

A takes 24 day in completing a work alone. Time taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?

 A) 21/3 days B) 48 days C) 40 days D) 48/5 days

Explanation:

Ans.
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days

0 119
Q:

A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?

 A) 1/3 B) 1/2 C) 1/4 D) 1/5

Explanation:

0 113
Q:

A can do a work in 24 days and B in 40 days. If they work on it together for 10 days, then what fraction of work is left?

 A) 1/2 B) 1/3 C) 2/3 D) 3/4

Explanation:

2 111
Q:

A, B and C can do a job working alone in 12, 16 and 24 days respectively. In how many days they can do the job if they worked together?

 A) 16/3 B) 15/4 C) 17/3 D) 19/4

Explanation:

0 107
Q:

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

 A) 100 B) 120 C) 90 D) 150

Explanation:

1 105
Q:

A can do a work in 15 days and B in 9 days. If they work on it together for 5 days, then what fraction of work is left?

 A) 1/6 B) 3/7 C) 1/3 D) 1/9