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 8 of 18.

Bhat said:   1 decade ago
Difference between distance i.e. 14-10 = 4.

Now calculate avg distance i.e. 20/4 = 5.

Now actual distance = 10*f = 50.

Keerthi said:   1 decade ago
First the question is find actual distance.

Then given: speed 14 kmph and 10 kmph .

T=D/S.
Actual distance is considered:x.
T=x/10,x+20/14.
x/10=x+20/14.

Then simplify the equation answer is 50.

Jeeva said:   1 decade ago
Extra 4kmhr------20km more.
So 1kmhr------ ?

20*1/4 so = 5.

so 10km*5 = 50.

Santoshganur1@gmail.com said:   1 decade ago
Actual distance = xkm.

Simply a person walks 14 km instead 10 km,

So 14-10 = 4.

10*20 = 200.
200/4 = 50;

Kiran said:   1 decade ago
If this person walks 10km then he walks xkm.
If this person walks 14 km then he will be walks x + 20 km.

Then 10 kmph -> x km.
&14 kmph -> x + 20 km.

So 10 * (x + 20) = 14 * x.

10x + 200 = 14x.

4x = 200.

x = 50 km.

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.

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.

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.

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.


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