SSC CGL Tier1 Quantitative Aptitude Time and Work Test 1

Explanation:
A's one day's work = 1/30 B's one day's work = 1/40 (A + B)'s one day's work = 1/30+1/40=7/120 A and B together will take 120/7 days=17 $\dfrac{1}{7}$ days

Explanation:
(A + B)’s 1 day’s work = $\dfrac{1}{15}$ B’s 1 day’s work = $\dfrac{1}{20}$ ∴ A’s 1 day’s work = $\frac{1}{15}$-$\dfrac{1}{20}$ = $\dfrac{4-3}{60}$= $\dfrac{1}{60}$ ∴ A alone will do the work in 60 days.

Explanation:
2 children = one man
8 children + 12 men = 4 men + 12 men
= 16 men
12 :16 = 9 : x (indirect)
12x=16×9=144
x = 12

Explanation:
12 men can reap the field in 14 day
⇒ 1 man can reap the field in 12 x 14 = 168 days
⇒ 8 men can reap the field in 168 ÷ 8 = 21 days
⇒ 1 day =1 ÷ 21 = 1/21 of the field
18 women can reap the field in 14 day
⇒ 1 woman can reap the field in 18 x 14 = 252 days
⇒ 16 women can reap the field in 252 ÷ 16 = 15.75 of the field
⇒ 1 day = 1 ÷ 15.75 = 4/63 of the field
So in one day, 12 men and 18 women can reap:
1/21 + 4/63 = 1/9 of the field
Find the number of days needed:
1/9 fo the field = 1 day
9/9 of the field = 1 x 9 = 9 days
Answer: They will take 9 days to reap the field.

Explanation:
1 day work of A=1/14
1 day work of (A+B)=1/10
Given:A+B=1/10
or,1/14+B=1/10
or,B=1/10-1/14
Or,B=2/70=1/35
Now, 1/35 part of work is done in 1 day by B.
So,1 work will be done in 1÷1/35=35 days.
B can alone do the work in 35 days.

Explanation:
manu,manju and maya work 1/30
manju 1/30
maya 1/45
Manu,manju and maya
Total:
1/30+1/30+1/45= 1+2+3/30= 6/15+6=1/15
:: the answer is 15 days

Explanation:
1st. 40 men can catch 200 sharks in 20 days * 6 hrs/day.
Thus, 1 man can catch 5 sharks in 20*6 hours
2nd. 25 men can catch 300 sharks in x days * 4 hrs/day
Therefore, 1 man can catch 6 sharks in 4*x hours.
(Notice that number of hours required, 4*x, has not been disturbed.)
Forward,
1 . 1 man can catch 5*6 sharks in 6*20*6 hours.
2. 1 man can catch 6*5 sharks in 5*4*x hours.
Calculations done in 1 and 2 are independent of each other.
All other values being equal, equating the number of hours from 1 and 2 we find x = 36.
Therefore, 25 men can catch 300 sharks working 4 hours a day in 36 days.

Explanation:
Amit’s one day’s work= 1/15
Amit’s 3 day’s work = 1/15 *3 = 1/15
Work left= 1-1/5 = 4/5
Ananthu’s one day’s work= 1/25
Ananthu can do work in = 4/5*25 = 20 days
So total days = 25+3 = 28 days

Explanation:
let 'x' be the number of days worked by 'A'
A = 3x
B = x
=>1/3x + 1/x = 1/21
=>4/3x = 1/21
=>3x = 21*4
=>x = (21*4)/3
=>x = 7*4
=>x = 28
Hence, 'A' can do the same work alone in 28 days.

Explanation:
Let d be the number of days it took to complete the work if 6 men do the same work, working 8 hours a day
If M1 men can do the work in working H1 hours per day and M2 men can do the same work in working H2 hours per day, then
M1H1=M2H2
=> $ 9 \times 12 \times 4 $ =$6 \times 8 \times d $
=>d=$\dfrac{9 \times 12 \times 4 }{48}$
=>d= 9 days