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:
50 km
56 km
70 km
80 km
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.

Lak verma said:   1 decade ago
Time not given in question so let it (X) then
Speed*time=distance
14x -10x=20
X=5 hr
So 10*5=50km question asking for distance

Rahul said:   1 decade ago
The question is asked to find out the distance traveled by the person, and its clearly written he traveled 20km more so we equate it as (x+20) as the distance traveled by him and then when we get the value of X to be 50km. Why it is not added by 20km to get final answer as 70km ?

Jayaraj said:   1 decade ago
Kinnari's explanation is simple and good.

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

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.

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...


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