MATHS (SOLVED IN STEPS)

TIME & WORK - (Page -1)

TIME & WORK - (Page -1)

1. Praveen is able to do a piece of work in 15 days and Qureshi
can do the same work in 20 days. If they can work together for 4 days, what is
the fraction of work left?

A. 8/15 B. 7/15

**Answer : Option A**

Explanation :

Amount of work Praveen can do in 1 day = 1/15

Amount of work Qureshi can do in 1 day = 1/20

Amount of work Praveen and Qureshi can do in 1 day = 1/15 + 1/20 =
7/60

Amount of work Praveen and Qureshi can together do in 4 days = 4 ×
(7/60) = 7/15

Fraction of work left = 1 – 7/15= 8/15

2. Anil can lay railway track between two stations in 16 days. Subin
can do the same job in 12 days. With the help of Jyothi, they completes the job
in 4 days. How much days does it take for jyothi alone to complete the work?

A. 9(3/5) days B. 9(1/5) days C. 9(2/5) days D. 10 days

**Answer : Option A**

Explanation : Amount of work anil can do in 1 day = 1/16

Amount of work subin can do in 1 day = 1/12

Amount of work anil, subin and jyothi can together do in 1 day =
1/4

Amount of work jyothi can do in 1 day = 1/4 - (1/16 + 1/ 12) =
3/16 – 1/12 = 5/48

=> Hence jyothi can do the job on 48/5 days = 9 (3/5) days

3. P, Q and R can do a work in 20, 30 and 60 days respectively.
How many days does it need to complete the work if P does the work and he is
assisted by Q and R on every third day?

A. 10 days B. 14 days C. 15 days D. 9 days

**Answer : Option C**

Explanation :Amount of work P can do in 1 day = 1/20

Amount of work Q can do in 1 day = 1/30

Amount of work R can do in 1 day = 1/60

P is working alone and every third day Q and R is helping him Work
completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5

So work completed in 15 days = 5 × 1/5 = 1 Ie, the work will be
done in 15 days

4. Ajeesh is thrice as good as Binu in work. Ajeesh is able to
finish a job in 60 days less than Binu. They can finish the work in - days if
they work together

A. 18 days B. 22 ½ days C. 24 days D. 26 days

**Answer : Option B**

Explanation : If Ajeesh completes a work in 1 day, Binu
completes the same work in 3 days

Hence, if the difference is 2 days, Binu can complete the work in
3 days

=> if the difference is 60 days, Binu can complete the work in
90 days

=> Amount of work Binu can do in 1 day= 1/90

Amount of work Ajeesh can do in 1 day = 3 × (1/90) = 1/30

Amount of work Ajeesh and Binu can together do in 1 day

= 1/90 + 1/30 = 4/90 = 2/45

=> Ajeesh and Binu together can do the work in 45/2 days

= 22 ½ days

5. Ajay can do a particular work in 6 days . Bilal can do the
same work in 8 days. Ajay and Bilal signed to do it for Rs.
3200. They completed the work in 3 days with the help of
Deepu. How much is to be paid to Deepu?

A. Rs. 380 B. Rs. 600 C. Rs. 420 D. Rs. 400

**Answer : Option D**

Explanation : Amount of work Ajay can do in 1 day = 1/6

Amount of work Bilal can do in 1 day = 1/8

Amount of work Ajay + Bilal can do in 1 day = 1/6 + 1/8 =
7/24

Amount of work Ajay + Bilal + Deepu can do = 1/3

Amount of work Deepu can do in 1 day = 1/3 - 7/24 = 1/24

work Ajay can do in 1 day: work Bilal can do in 1 day: work deepu
can do in 1 day

= 1/6 : 1/8 : 1/24 = 4 : 3 : 1

Amount to be paid to Deepu = 3200 × (1/8) = 400

6. 6 men and 8 women can complete a work in 10 days. 26 men and 48
women can finish the same work in 2 days. 15 men and 20 women can do the same
work in - days.

A. 4 days B. 6 days C. 2 days D. 8 days

**Answer : Option A**

Explanation : Let work done by 1 man in 1 day = m and work
done by 1 woman in 1 day = b

Work done by 6 men and 8 women in 1 day = 1/10

=> 6m + 8b = 1/10

=> 60m + 80b = 1 --- (1)

Work done by 26 men and 48 women in 1 day = 1/2

=> 26m + 48b = ½

=> 52m + 96b = 1--- (2)

Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200

Work done by 15 men and 20 women in 1 day

= 15/100 + 20/200 =1/4

=> Time taken by 15 men and 20 women in doing the work = 4 days

7. A can do a piece of work in 4 hours . A and C together can do
it in just 2 hours, while B and C together need 3 hours to finish the same
work. B alone can complete the work in --- days.

A. 12 hours B. 6 hours C. 8 hours D. 10 hours

**Answer : Option A**

Explanation :Work done by A in 1 hour = 1/4

Work done by B and C in 1 hour = 1/3

Work done by A and C in 1 hour = 1/2

Work done by A,B and C in 1 hour = 1/4+1/3 = 7/12

Work done by B in 1 hour = 7/12 – 1/2 = 1/12 => B alone can
complete the work in 12 hour

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