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:
172 comments Page 5 of 18.
Bill said:
1 decade ago
14-10 = 4km/hr more at 14, 20km/hr extra distance.
20/4 = 5hrs.
5*14 = 70 is the answer.
20/4 = 5hrs.
5*14 = 70 is the answer.
Siva Nandi Reddy said:
1 decade ago
The difference between the two speeds is 20 km in the above question.
4km/h----------20km.
So 10km/h---------?
Cross multiplication so we get 50 km/h.
4km/h----------20km.
So 10km/h---------?
Cross multiplication so we get 50 km/h.
Sunil said:
1 decade ago
Time in this solution is 1 hr since it is km per hour and then x/10 would be for 1 hr and x+20/14 would also be for 1 hr.
Hence they can be equated. So this in other words is a unitary method.
Hence they can be equated. So this in other words is a unitary method.
Reality Check said:
1 decade ago
Walking at 14 km/h or even 10 km/h is. Unrealistic.
RAJ ARJ said:
1 decade ago
10km/hr-------------->x km.
14km/hr-------------->x+20 km.
So cross multiplication,
10(x+20) = 14x.
10x+200 =14x.
200 = 14x-10x.
200 = 4x.
x = 50 km.
14km/hr-------------->x+20 km.
So cross multiplication,
10(x+20) = 14x.
10x+200 =14x.
200 = 14x-10x.
200 = 4x.
x = 50 km.
Sahil said:
1 decade ago
Speed 40% of x = 20.
Solving x =50.
Solving x =50.
Santoooosh said:
1 decade ago
It is very clear. The time in both the cases is same that is 5 hrs.
T = 5;
Now the distance travelled by him at a speed of 10 kmph is x/10 in 5 hrs.
Similarly the distance travelled by him at a speed of 14 kmph is (x+20)/14 in 5 hrs.
Form that we can say that x/10 = 5, and (x+20)/14 = 5;
From the above x/10 = (x+20)/14.
Solve this you will get the answer.
T = 5;
Now the distance travelled by him at a speed of 10 kmph is x/10 in 5 hrs.
Similarly the distance travelled by him at a speed of 14 kmph is (x+20)/14 in 5 hrs.
Form that we can say that x/10 = 5, and (x+20)/14 = 5;
From the above x/10 = (x+20)/14.
Solve this you will get the answer.
VIJAY said:
1 decade ago
5*10 = 50 because t = 5 and Distance = Speed*Time.
Suman said:
1 decade ago
14x-10x = 20.
4x = 20.
x = 5.
Actual distance = 10*5 = 50.
4x = 20.
x = 5.
Actual distance = 10*5 = 50.
Mallikarjun said:
1 decade ago
Difference of speed 14-10 = 4.
Therefore 4 km ----> 20.
So 10 km to travels 50 km.
Therefore 4 km ----> 20.
So 10 km to travels 50 km.
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