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 11 of 18.

Sonia said:   9 years ago
Time is considered as equal in both cases because of its average speed. Look over the question again. Speed is 14kmph & 10 kmph. It means 14 km travelled in one hour and 10 km travelled in one hour. So the time in both cases is the same.

Bdboy Hasan said:   9 years ago
Speed increase 14 - 10 = 4 kmph and so that distance increase 20 km.
When distance increases 4 km then time is 1 hour.
When distance increases 1 km then time is 1/4 hour.
When distance increases 20 km then time is 20/4 hour or 5 hours.

So, he journeyed 5 hours in 10 kmph.
So, distance is 5 * 10 = 50 hour.

Note : This technique is more useful for quick calculation.

Kalinga kumar said:   9 years ago
We know,

Time = Distance/Speed.

Let's take original distance is X.

Given,
Speed is 10km/1hr and 14km/1hr.

Now we can write,
1hr = X distance/10 speed --> (1).

Similarly,
1hr = (X + 20) distance/14 speed --> (2).

Now, put the value of (1) in (2).
We will get,

X/10 = (X + 20)/14.
14X = 10X + 200.
4X = 200.
X = 50.

Kavitha said:   9 years ago
@Manish Nair.

Thanks for your solution.

Gtg said:   9 years ago
I did not understand the concept.

Atiya said:   9 years ago
Thanks for all your hard work and solution.

Ziyauddin said:   9 years ago
@Gowtham.

Thanks, you expressed clearly.

Sidzwozz said:   9 years ago
@Ilesh.

Explained very well.

Raj said:   9 years ago
Here time is constant = t;

No old speed = 10 new speed 10*14/10.

D-14/10d = 20.

D = 20*10/4 = 50 km.

Feroz said:   9 years ago
14 - 10 = 4,
20/4 = 5,
5 * 10 = 50.


Post your comments here:

Your comments will be displayed after verification.