# CAT Time and Work Problems and Solutions: Time and Work Problems you should solve for CAT Prep

## CAT Time and Work Practice Exercise-3

CAT Quantitative Aptitude section consists of problems based on Time and Work which have a considerate amount of weightage. The problems are based on amount of work done by people and the respective time taken by them. Cumulative work or total time taken is given and you are asked the independent time taken and vice versa. In this post, we share CAT Time and Work Problems and Solutions that you can use to super-charge your preparation and have a taste of the problems asked for this area.

Question 1: If 10 men or 20 boys can make 260 mats in 20 days, then 8 men and 4 boys will make how many mats?
(1) 260
(2) 240
(3) 280
(4) 520

10 men = 20 boys

∴ 1 man = 2 boys

∴ 8 men + 4 boys

= (16 + 4) boys = 20 boys

Hence, 8 men and 5 boys will make 260 mates in 20 days.

Question 2: 20 men or 24 women can com¬plete a piece of work in 20 days. If 30 men and 12 women under-take to complete the work how much time will they take?
(1) 10 days
(2) 12 days
(3) 15 days
(4) 16 days

20 men ≡ 24 women

⇒ 5 men ≡ 6 women

∴ 30 men + 12 women = 30 men+10 men=40 Men

∴ M1D1 = M2D2

⇒ 20 Men× 20 Days = 40 Men × D2days

⇒ D2 = (20 x 20)/40 = 10 days

Question 3: 8 days are taken by one man and one woman together to complete the job. A man alone can complete the work in 10 days. In how many days can one woman alone complete the work?
(1) 140/9
(2) 30
(3) 40
(4) 42

Work done by 1 woman in 1 day

= 1/8 – 1/10 = (5-4)/40 = 1/40

∴ One woman will complete the wok in 40 days.

Question 4: 4 men and 6 women can com¬plete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

(1) 50
(2) 45
(3) 40
(3) 35

Let 1 man’s 1 day’s work = x and

1 woman’s 1 day’s work = y

Then, 4a + 6b = 1/8

3a + 7b = 1/10

On solving, we get b = 1/400

∴ 10 women’s 1 day’s work

= 10/400 = 1/40

∴ 10 women will finish the work in 40 days.

Question 5: A man, a woman and a boy can complete a work in 20 days, 30 days and 60 days respectively. How many boys must assist 2 men and 8 women so as to com¬plete the work in 2 days?
(1) 8
(2) 12
(3) 4
(4) 6