# 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