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:
176 comments Page 17 of 18.

Arun said:   7 years ago
It's based on per hour that means time is constant. And when time is constant distance and speed will be directly proportional.

Speed : 14 : 10
=> 7:5.
Since distance is directly proportional.
Its ratio also will be 7:5
20 more means the difference of 7-5.

Amit said:   6 years ago
The correct answer should be 70 as the value of x is 50 at the speed of 10 km/hr but at the speed of 14 km hr is 20 more.

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:   6 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:   6 years ago
Thanks all for the explanation.

Ankit singh said:   6 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:   6 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:   6 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:   6 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.


Post your comments here:

Your comments will be displayed after verification.