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:
173 comments Page 2 of 18.

Jason Valentine said:   1 year ago
His actual speed is 10 km/h and from the given question.
14x-10x = 20,
4x = 20,
x = 5 hours.

Then the actual distance will be;
10 * 5 = 50 km.
(48)

SILEBCE said:   1 year ago
According to me, the right answer is 50km.
(6)

Kaviprema k said:   2 years ago
We don't know the actual distance so let we consider it as x.
The actual speed is 10 km/ hr ->x.
Another speed is 14 km/hr ->x + 20 km.
( because we have considered distance is x and if he had walked 14 km/ hr then he would have walked 20 km more)
So,
X/ 10 = x+20/14,
14x = 10x+200,
14x-10x = 200,
4x = 200,
x = 200/4,
x = 50.

So,the actual distance is 50 km.
(29)

Vishal said:   2 years ago
Why t in both the equation is same?

If a person is walking at 14km/hr then it will take less time then 10km/hr, which means both t are different.
(12)

MO HASAN said:   2 years ago
His actual speed is 10 km/h and from given question.
14x-10x = 20,
4x = 20,
x = 5 hours.
then the actual distance will be;
10*5 = 50 km.
(94)

Tariq said:   2 years ago
Given:
S1= 14km/h
S2= 10km/h
D1= 20km
D2=?

Solution:

We know that; (Distance= Speed * Time)
We first need to know the time taken,
By putting values:

20km = 14km/h (s1) - 10km/h (s2)
20km = 4 km/h,
20/4 = 5.
So the time (T) is 5.

Similarly, putting values we get;
D2 (actual distance)= 10km/h (actual speed) * 5 (time).
Distance= 10*5km.
Actual distance= 50km.
(131)

Chahat said:   2 years ago
Thanks, everyone for explaining.
(20)

Meghan Desai said:   2 years ago
Let
Actual distance is 'X' - (at 10kmph),
Distance afterwards is 'X+20' - (at 14kmph).
Also, the time be 'Y'.

FORMULA: Distance = Speed x Time.

1. X = 10Y ---> (a)
2. X+20 = 14Y
X = 14Y-20 ---> (b).

Comparing a&b we have;
10Y = 14Y-20
So, 14Y-10Y = 20;
and, Y = 5hrs.

Actual distance (at actual speed):-
10kmphx 5hrs = 50km.

That's the answer.
(30)

Pulyala ajith kumar said:   2 years ago
The difference between distances is 20km and d = s * t.
So 14x-10x = 20.
x = 5hrs
The actual distance is s*t = 10 * 5 = 50km.
(55)

Aryan said:   2 years ago
@All,

According to me, the solution is;

For every 1 km/hr there is 5 km distance travelled;
So for 10km/hr there is 50km distance travelled;
which means for 4 more km/hr in question there is 20 kM distance.
So, for 10 km it's 50 km.
(10)


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