Aptitude - Time and Distance - Discussion
Discussion Forum : Time and Distance - General Questions (Q.No. 3)
                   
                                       
                                3.
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
 
                                    Answer: Option
                                                    Explanation:
                                                Let the actual distance travelled be x km.
| Then, | x | = | x + 20 | 
| 10 | 14 | 
 14x = 10x + 200
 4x = 200
 x = 50 km.
Discussion:
174 comments Page 7 of 18.
                
                        Thirumoorthy Lalapet Karur(DT) said: 
                         
                        1 decade ago
                
                Note: That in both speed Time will be same so 
for speed 10km/hr speed=distance/time
10 =x/time1
for speed 14km/hr 14 =(x+20)/time2
: Note time will be same so we equate these two equations respect with time
time1 = time2
time1 = x/10
time2 = (x+20)/14
(X/10)=(X+20)/14
we solve this to obation right answer
                for speed 10km/hr speed=distance/time
10 =x/time1
for speed 14km/hr 14 =(x+20)/time2
: Note time will be same so we equate these two equations respect with time
time1 = time2
time1 = x/10
time2 = (x+20)/14
(X/10)=(X+20)/14
we solve this to obation right answer
                        Manoj said: 
                         
                        1 decade ago
                
                @Ilesh method is best one.
                
                        Ravi said: 
                         
                        1 decade ago
                
                As time is same in both the case. Therefore distance is directly proportional to speed. Let distance is x.
x directly proportional to 10km/hr.
So, x/10 directly proportional to 1 km/hr.
And (x/10) *14 directly proportional to 14 km/hr.
And (x/10) *14 is the total distance covered in 2nd case which x+20.
So just compare both the distance i.e.
(x/10) *14 = x+20. You will get x=50. Answer.
                x directly proportional to 10km/hr.
So, x/10 directly proportional to 1 km/hr.
And (x/10) *14 directly proportional to 14 km/hr.
And (x/10) *14 is the total distance covered in 2nd case which x+20.
So just compare both the distance i.e.
(x/10) *14 = x+20. You will get x=50. Answer.
                        Mmk91 said: 
                         
                        1 decade ago
                
                still confusion guys
                
                        Nandhu said: 
                         
                        1 decade ago
                
                How you getting this (x+20) /14.
                
                        Raji said: 
                         
                        1 decade ago
                
                Ilesh method is good procedure than others because in question there is no clarity that the time is same.
                
                        Anand said: 
                         
                        1 decade ago
                
                Ilesh logical thinking sweet and simlpe...
                
                        Tanay said: 
                         
                        1 decade ago
                
                In 4 kmph he walk more 20 km.
So in 1 kmph he walks (20/4) =5 km.
Thus in 10 kmph he walks (5*10) =50 km (actual distance).
                So in 1 kmph he walks (20/4) =5 km.
Thus in 10 kmph he walks (5*10) =50 km (actual distance).
                        Laxman said: 
                         
                        1 decade ago
                
                The actual distance should be the 10hr/km i.e. (50km ) + extra 20KM = 70 km?
                
                        Anjith said: 
                         
                        1 decade ago
                
                Hi,
The man travels at a speed of 14, but he assumed to travel at a speed of 10 kmph.
Means the man covered 70km, but he assumed to cover is 50 km.
Hence the actual distance covered by the man is 70 kms, and it is the answer.
Please let me know if I am wrong.
                The man travels at a speed of 14, but he assumed to travel at a speed of 10 kmph.
Means the man covered 70km, but he assumed to cover is 50 km.
Hence the actual distance covered by the man is 70 kms, and it is the answer.
Please let me know if I am wrong.
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