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Time & Work Quant Questions for SSC-CGL Mains 2017

Time& Work Quant Questions for SSC Mains 2017

Q1. A and B cantogether finish a work in 30 days. They worked for it for 20 days and then Bleft. The remaining work was done by A alone in 20 more days. A alone canfinish the work in :

(a) 54 days

(b) 60 days

(c) 48 days

(d) 50 days

Ans.(b)

Sol.

Let work of A& B = 30

Remaining work =30 – 20 = 10

Work complete byA in 20 days = 10

Work complete byA in 1 days =10/20=1/2

So, A can alonework in 30/(1/2)=30×2=60 days

Q2. A certain numberof men can do a work in 75 days. If there were 6 men more it could be finishedin 15 days less. How many men are there?

(a) 20 men

(b) 24 men

(c) 28 men

(d) 32 men

Ans.(b)

Sol.

Let number of men= x

ATQ,

M1D1 = M2D2

x × 75 = (x+ 6)(75 – 15)

x × 75 = (x + 6)× 60

x × 5 = (x + 6)×4

x= 24

Number of men =24

Q3. A and B can do apiece of work in 16 days and 24 days. Both starts the work together for sometime, but B leaves the job 6 days before the work is completed. Find the timein which work is finished.

(a) 18 days

(b) 14 days

(c) 12 days

(d) 8 days

 

Q4. Two women,Vaishali and Shraya, working separately can mow a field in 8 and 12 hoursrespectively. If they work for an hour alternately, Vaishali beginning at 9 am,when will the mowing be finished?

(a) 6 (1/2) pm

(b) 8 (1/2) pm

(c) 3 (1/2) pm

(d) 5 (1/2) pm

Q5. Ram completes awork in 10 days. Shyam completes the same work in 15 days. Ram starts workingalone and after 5 days Shyam joins him. How many days will they now taketogether to complete the remaining work?

(a) 1 day

(b) 3 days

(c) 2 days

(d) 5 days

Q6. A and B can do apiece of work in 14 days and 21 days respectively. They start the work togetherbut after some days, A leaves the job. B alone does the remaining work in 6days. Find after how many day does A leaves the job?

(a) 7 days

(b) 6 days

(c) 8 days

(d) 9 days

Q7. A can do a pieceof work in 5 days. How many days will he take complete 3 works of the sametype?

(a) 25 days

(b) 10 days

(c) 15 days

(d) 20 days

Q8. A and B can do apiece of work in 10 days, B and C in 15 days and C and A in 20 days. They allwork at it for 6 days, and then A leaves, and B and C go on together for 4 daysmore. If B then leaves, how long will C take to complete the work?

(a) 20 days

(b) 25 days

(c) 10 days

(d) 15 days

Q9. A can do (1/3)ofa work in 5 days and B can do (2/5) of the work in 10 days. In how many daysboth A and B together can do the work?

(a) 7 (3/4) days

(b) 9 (3/8) days

(c) 8 (4/5) days

(d) 10 days

 

Q10. A and B togethercan do a piece of work in 4 (4/5) days, B and C together can do it in 8 days,and A, B and C together in 4 days. How long would A and C together take to doit? In what time would B do it alone?

(a) 8 days, 12days

(b) 4 days, 8days

(c) 6 days, 12days

(d) 8 days, 16days

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