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:
164 comments Page 1 of 17.

Raghavendra said:   1 decade ago
I'm not clear with the answer. Why did you take the time same in both the cases?
(2)

Gowtham said:   1 decade ago
For the same interval if the person travelled in 14 kmph so only.

or else you could solve like this

1st hour 10 =14
2nd hour 20 =28
3rd hour 30 =42
4th hour 40 =56
5th hour 50 =70

At speed 10 kmph he reaches 50 km at the same time if he travels in 14 kmph he would reach 70 km. So 70 - 50 = 20. I think u got it.
(4)

Satish said:   1 decade ago
Please give express that how to make this equation ?
(1)

Nitesh said:   1 decade ago
@Gowtham

But it is not written that time instance is same.

Savitha said:   1 decade ago
I am not clear with the explanation and I didn't understand this step x/10=x+20/14.

Kinnari said:   1 decade ago
It goes by the formula S=D/T (Speed = Distance/Time)

So, T = D/S => T=x/10 ............(1)

T = x+20/14 .........(2)

Taking both the times together we get frm (1) and (2)

x/10=x+20/14

Now solve it as shown above. Hope you get it now.
(1)

Krishna said:   1 decade ago
I agree with gautam .... the time is not constant in both cases.
So it is false ..... how to equate them


He travels at 10km/hr and walks d km in t1 hrs

Similarly, he travels at 14km/hr and walks (d+20)km in t2 hrs

How can u equate t1 and t2? It is not given.

Ankit said:   1 decade ago
Thanks kinnari. I got it.

Muneer said:   1 decade ago
Let distance travelled be x,

Since the time taken is same here so,

time taken to walk 14 km more at speed 14 kmph =time taken to walk the distance at speed 10 kmph

(x+20)/14=x/10

5x+100=7x

2x=100

x=50

Xyz said:   1 decade ago
Why did you take time same in both the cases?


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