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 17 of 18.

Kamal said:   6 years ago
Present speed = 14 km/h & Regular speed =10 km/h.
Difference of speed =14- 10 km/h = 4 km/h.
That means;
If his speed more 4 km/h he completes 20 km.

If he runs at his usual he complete = 20/5) * 10 km = 50 km.

VishnuGpd said:   6 years ago
A:B
14:10
7:5.

Difference is 2parts.
2part=20km{actual difference).
1part=10km.
Multiply B part that is 5*10=50.

Sagar said:   5 years ago
Hi, whenever the time is constant we can equate the distance ratio to speed ratio. That is 10/14 =x/x+20 then x=50.

Anu said:   5 years ago
Thanks all for the explanation.

Ankit singh said:   5 years ago
Take difference of 14 and 10 is 4.

4 km/hr speed decrease= 20 km more he go.
4unit = 20,
1unit = 5,
Then 10 * 5 = 50 km actual distance covered by him.

Md. Palash said:   5 years ago
The difference per hour is 14 - 10 = 4 km.
So, the time taken to travel 20 km is = 20/4 = 5 hours.
Now, the actual distance = 10 * 5 = 50 km.

Atul said:   5 years ago
Indirect proportion by chain rule.

X:X+20 10:14
Hence X/10 = X+20/14.
So, the answer x=50.

Parth singh said:   5 years ago
Here time is constant.

S, the o formula for time is Distance /Speed.
10/x = 14/x+200.
Equate this we will find:
10x + 200 = 14x,
4x = 200,
X = 50.

Priya said:   4 years ago
He travels 4 km/hr extra in the other case.

So if he traveled 20 km more in that case then it means the time he took would be time= distance/speed = 20/4= 5 hours. So now that we know the time he took, we can find the actual distance he traveled.

Distance= speed* time= 10*5= 50 km.

SB1928 said:   4 years ago
He travel 14kmph instead of 10kmph,
So,
14 - 10=4.

Walked 20km more(distance÷speed)=time.

20÷4=5.

Actual distance is 10 * 5=50km. (Distance=time*speed).


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