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 7 of 12.

Feroze Ahmad kumhar said:   5 years ago
Distance is same.
Therefore d = d.
3(x-40) = 2(x+40),
3x+120 = 2x+80,
3x-2x = 120-80,
X = 40km.
(134)

Lakshmi said:   1 decade ago
I solved the above two equations but I'm not getting the answer. So, please explain clearly.

Manik said:   8 years ago
Please, can anyone solve this equation in details?

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

Samir Mendhe said:   5 years ago
3times more -> Dist= 3 * 40= 120.
2tines less -> Dist= -2* 40= -80.
So, 120 - 80 = 40kmph.
(248)

Kirti said:   1 decade ago
All I have is v+3=s/ (t-2/3).

And v-2=s/ (t+2/3). With these two eqns. How do we solve it?

Kavit Garg said:   1 decade ago
Please give me your calculation of how did you get y=12 by solving above two equations ?

Thanuj said:   8 years ago
3 * 40 = 120,
2 * 40 = 80,
120-80 = 40.
Does this process will come? Please tell me.

Amit said:   1 decade ago
vt=d
(v+3)(t-2/3)=d
(v-2)(t+2/3)=d
3 equations and three unknowns so you can find d.

Seema said:   1 decade ago
Hi friends please tell me how to solve this equation.

X/y-2 + 40/60 = X/y+3 -40/60.

Mayur said:   9 years ago
Difference of speed and time = distance.

3 * 40 - 2 * 40 = x.
120 - 80 = x.
40 = x.


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