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- Question
- A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish it, then out of a total wages of Rs. 75, A will get?
Options- A. Rs. 30
- B. Rs. 37.50
- C. Rs. 45
- D. Rs. 50
- Correct Answer
- Rs. 45
ExplanationSince a alone can finish a work in 10 days and B alone can do it in 15 days. So if they work together then the ration of work done by A and B is = (1/10) : (1/15).
? The wages A will get = (1/10)[(1/10) + (1/15)] x 75
= Rs. 45 - 1. A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. The daily earning of C is?
Options- A. Rs. 75
- B. Rs. 56
- C. Rs. 34
- D. Rs. 20 Discuss
- 2. A can do a certain job in 10 days. B is 60% more efficient than A. The number of days, it takes B to do the same piece of work is?
Options- A. 6
- B. 61/4
- C. 62/3
- D. 8 Discuss
- 3. A can do a piece of work in 24 days while B alone can do it in 16 days. But with the help of C, they finish the work in 8 days. C alone can do the work in?
Options- A. 32 days
- B. 36 days
- C. 40 days
- D. 48 days Discuss
- 4. A can do a piece of work in 5 hours, B in 9 hours and C in 15 hours. If C could work with them for 1 hour only the time taken by A and B together to complete the work is?
Options- A. 2 hours
- B. 3 hours
- C. 31/2
- D. 4 hours Discuss
- 5. 25 men reap a field in 20 days. When should 15 men leave the work, if the whole field is to be reaped in 37 1/ 2 day after they leave the work?
Options- A. 6 days
- B. 4 days
- C. 5 days
- D. None of these Discuss
- 6. If factory A turns out x cars an hour and factory B turns out y cars every 2 hours, the number of cars which both factories turn out in 8 hours is?
Options- A. 8(x + y)
- B. (8x +y)/2
- C. 16(x + y)
- D. (2x + y)4 Discuss
- 7. A is twice as good a workman as B and together they finish a piece of work in 14 days. A alone can finish the work in?
Options- A. 11 days
- B. 21 days
- C. 28 days
- D. 42 days Discuss
- 8. 14 workers can make 1400 toys in 5 days. One day after they started the work 14 more workers joined them. How many days will they take to complete the remaining work?
Options- A. 2 days
- B. 3 days
- C. 4 days
- D. 31/2 Discuss
- 9. 24 boys can complete a work in 12 days while 16 men can complete the same work in 9 days. In How many days will 12 boys and 12 men together complete the same work?
Options- A. 6 days
- B. 8 days
- C. 7 days
- D. 10 days Discuss
- 10. 24 men can do a work in 16 days while 36 women can do the same work in 24 days. In how many days will 8 men and 6 women together complete the same work?
Options- A. 36 days
- B. 28 days
- C. 32 days
- D. 24 days Discuss
Time and Work problems
Search Results
Correct Answer: Rs. 20
Explanation:
? B's daily earning = Rs. (150 - 94) = Rs. 56
? A's daily earning = Rs. (150 - 76) = Rs. 74
? C's daily earning = Rs. [(150 - (56 + 74)] = Rs. 20
Correct Answer: 62/3
Explanation:
1 day work of A = 1/10 = 0.1
1 day work of B = 1/10 + 60% of 1/10 = 0.1 + 0.06 = 0.16
So number of days taken by B to complete the work = 1/0.16
= 62/3
Correct Answer: 48 days
Explanation:
? C's 1 day's work
= [( A + B + C)'s 1 day's work] - [(A + B)'s 1 day's work]
= [1/8 - (1/24 + 1/16)] = (1/8 - 5/48) = 1/48
? C alone can do it in 48 days.
Correct Answer: 2 hours
Explanation:
? (1/5 + 1/9 + 1/15) = 17/45 work is finished in 1 hour
? Remaining work = 1 - 17/45 = 28/45
? (A + B)'s 1 hour's work = 1/5 + 1/9 = 14/45
14/45 work is done by (A and B) in 1 hour
28/45 work will be done by A and B in (45/14) x (28/45) = 2 hours
Correct Answer: 5 days
Explanation:
25 men reap the field in 20 days
? 10 men can reap the feild in (20 x 25)/ 10 = 50 days.
When 15 men leave the work, 10 men remain and they can reap in 371/2 days
= (371/2)/ 50 = 3/4 of the field
Hence, all men must work till (1 - 3/4) = 1/4 of the field is reaped in 20/4 = 5 days.
Correct Answer: (2x + y)4
Explanation:
? Factory A turns out x cars in one hour. Factory B turns out y/2 cars in one hour.
? In one hour both the factories A and B can turn out (x + y/2) cars
? In 8 hours both factories turn out = 8( x + y/2) cars
= 4(2x + y) cars.
Correct Answer: 21 days
Explanation:
(A's 1 day's work) : (B's 1 day's work) = 2 : 1
Now, ? (A + B)'s day's work = 1/14
? A's 1 day's work = (1/14) x 2/3 = 1/21
? A alone can finish the work in 21 days.
[Dividing 1/14 in the ratio 2 : 1 ]
Correct Answer: 2 days
Explanation:
? In 5 days 14 workers make = 1400 toys.
? In 1 days 14 workers make toys = 1400/5 = 280 toys.
Number of remaining toys = 1400 - 280 = 1120
and number of total workers = 14 + 14 = 28
? 14 workers make 1400 toys in 5 days.
? 28 workers make 1120 toys = (5 x 14 x 1120)/(28 x 1400) = 2 days
Correct Answer: 8 days
Explanation:
? In 12 days the work is done by = 24 boys
? In 1 day the work is done by = 24 x 12 = 288 boys
? In 9 days the work is done by = 16 men
? 1 day work is done by = 16 x 9 = 144 men
? 144 men = 288 boys
? 1 men = 288/144 = 2 boys
? 12 men + 12 boys = 12 x 2 + 12 = 36 boys
? 24 boys complete 1 work in 12 days
? 36 boys complete 1 work in (12 x 24)/36 = 8 days
Correct Answer: 36 days
Explanation:
In 16 days the work is done by 24 men
? In 1 day the work is done by = (24 x 16) men
In 24 days the work is done by = 36 women
? In 1 day the work is done by = (36 x 24) women
? (16 x 24) men = 36 x 24 women
? 1 man = (36 x 24)/(16 x 24)
? 8 men = [(36 x 24)/(16 x 24)] x 8 =18 women
? 8 men + 6 women = (18 + 6) = 24 women
? 36 women do 1 work in 24 days
? 24 women do 1 work in 24 x 36 / 24 = 36 days
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