A man travels 35 km partly at 4 km/hr and at 5 km/hr. If he covers former distan

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Question
A man travels 35 km partly at 4 km/hr and at 5 km/hr. If he covers former distance at 5 km/hr and later distance at 4 km/hr, he could cover 2 km more in the same time. The time taken to cover the whole distance at original rate is
Options
A. 9 hours
B. 7 hours
C. 4.5 hours
D. 8 hours

Correct Answer

8 hours

Explanation

Suppose the man covers first distance in x hrs. and second distance in y hrs.
Then , 4x + 5y = 35 and 5x +4y= 37
Solving these equation , we get
X=5 and y=3
Total time taken = (5+3) hrs= 8hrs

Time and Work problems

Search Results

1.
By walking at 3/4 of his usual speed, a man reaches his office 20 minute later than usual. this usual time is?
Options
A. 30 minute
B. 60 minute
C. 75 minute
D. 1 hour 30 minute

2.
A man, on tour travel first 160 km, at 64 km/hr. and the next 160km at 80km/hr. the average speed for the first 320 km. of the tour is?
Options
A. 35.55km/hr.
B. 71.11km/hr.
C. 36km/hr.
D. 72km/hr.

3.
Currants at Rs. 50 per kg are mixed with currants at Rs. 90 per kg to make a mixture of 17 kg worth Rs. 70 per kg. How many kilograms of each are taken?
Options
A. 8 kg, 9 kg
B. 8 1 kg of each 2
C. 7 kg, 10 kg
D. None of these

4.
729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in ratio 7 : 3?
Options
A. 600 ml
B. 710 ml
C. 520 ml
D. None of these

5.
Two casks of 48 and 42 liters are filled with mixture of wine and water13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 liters of water added to the whole what will be the proportion of wine to water in the result?
Options
A. 13 : 12
B. 12 : 13
C. 21 : 31
D. 31 : 21

6.
6 men or 10 women can reap a field in 15 days, then the number of days that 12 men and 5 women will take to reap the same field is :
Options
A. 5
B. 6
C. 8
D. 12

7.
6 children and 2 men complete a certain piece of work in 6 days. Each child takes twice the time taken by a man to finish the work. In how many days will 5 men finish the same work?
Options
A. 6
B. 8
C. 9
D. 15

8.
2 men or 5 women or 7 boys can finish a work in 469 days, then the number of days taken by 7 men, 5 women and 2 boys to finish the work is :
Options
A. 134
B. 106
C. 100
D. 98

9.
314 weavers weaves 6594 shawls in 1/6 hours. What is the number of shawls weaved per hour by an average weaver?
Options
A. 42
B. 21
C. 102
D. 126

10.
The Ratio of efficiencies of A, B and C is 6 : 5 : 4 and if A, B and C received total Rs. 27000 for the whole work. What is the share of C, if the money is distributed in the ratio of amount of work done, individually?
Options
A. 2700
B. 7200
C. 14400
D. 6300

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