Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 15)
15.
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
35
36 2
3
37 1
2
40
Answer: Option
Explanation:

Let distance = x km and usual rate = y kmph.

Then, x - x = 40     2y(y + 3) = 9x ....(i)
y y + 3 60

And, x - x = 40     y(y - 2) = 3x ....(ii)
y -2 y 60

On dividing (i) by (ii), we get: x = 40.

Discussion:
118 comments Page 10 of 12.

Raj said:   9 years ago
Please explain the way way of getting the value of y =12.

Kunal said:   1 decade ago
How to divide this two equation to find the value of y?

JAHNAVI said:   1 year ago
I am not understanding this. Please help me to get it.
(9)

Bhavana said:   1 decade ago
Good explanation by Amit kr Soni, Sivaraman and Amit.

Ram said:   9 years ago
Anyone find the original speed of the above question?

Damu said:   7 years ago
Just from simple trick, it is.

3 * 40 - 2 * 40 = 40.

Aayush said:   1 decade ago
3X-2X = X.

40(common)40 = X.

No logic, just this.

Naveen said:   10 years ago
Can anyone tell me the shortcut method to solve it?

Nive said:   1 decade ago
Still am not able to understand, its confusing !

Neeraj said:   8 years ago
3/x+3/2/x-2= 40/40.
On solving we get x = 12.


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