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 7 of 18.

Ameer said:   7 years ago
@Jayesh.

You make it very easy to understand. Thanks.

Dadi Ganesh said:   7 years ago
Well said, Good explanation. Thanks @Jayesh.

Jayesh said:   7 years ago
@All.

14-10 = 4km/hr.
4km/hr = 20km travelled.
so 1hr = 5km,
then 10km/hr = 10 * 5 = 50.

Pradyumnan said:   7 years ago
I am understanding now. Thanks All.

Ramu Dhakal said:   7 years ago
Time = Distance/Speed.

For 10km/h,
T=D/S.
Let the actual distance be x.

Therefore T= x/10 -------> Eq 1
For 14km/h,
T=D/S
T= x+20/14 ------> Eq 2

By equation 1 and 2.
x/10=x+20/14,
x=50.

Palani said:   7 years ago
Friends, we should first understand the concept.

The man walks at 10kmph covered certain distance X. Then man instead of walks at 14kmph covered certain distance X. So both are covering the distance x first. Then he will take an extra time to cover 20km.

The Time difference
D is=20km.

Formula=D = D[a/a-b].
=20(10/4)=50km.

Shivani k said:   7 years ago
The question says that if he travelled 14km/hr instead of 10km/hr he would cover 20km more so
(14 -10)= 4 km/hr.

Distance covered with speed of 4km/hr=20km.
1km/hr= 20/4,
= 5km.
Actual distance covered with 10km/hr.
10 * 5 =50 km.

Ani said:   7 years ago
Why not X/14= (x+20) /10?

Reshma said:   7 years ago
I think the answer should be 70. Because the actual distance travld is 50+20=7.

Am I right?

Rakesh said:   7 years ago
Why did you take the same value in both cases? Please explain.


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