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 6 of 12.

Durgesh Singh said:   6 years ago
S + s1/s1*t1=S+s2/s2*t2=T.
So S+3/3*40=S-2/2*40,
S= 12.

Then T= 12+3/3*40/60 = 10/3.
ST = D.
So 10/3*12 = 40.

Sonu kumar said:   8 years ago
@Akash.

I can't understand why have you divided by e3 and 2 on both side of equations. Can you explain please?

Shaju said:   1 decade ago
After getting y=12, put the value of y in X/y - X/y+3 = 40/60

Then you will get X=40 without any minus sign.

Rajasekhar said:   6 years ago
d=(S1S2/S1-S2)*t.
(S(S+3) / 3)*(40/60)=(S(S-2)/2)*(40/60).
2S+6= 3S-6.
S=12Kmph.
d=( (12*15)/3)*40/60.
d=40km.
(4)

Ramakrishna said:   10 years ago
@Sivaram,

Here 3 is kmhr, but 40 is minutes.

Our requirement is Distance in KM.

So Please explain clearly?

Divya said:   8 years ago
@Dhivakar.

To convert 80 min into hour you divide it by 60 not multiply it. Then How did you get the answer?

Sidzwozz said:   9 years ago
@Pauli.

According to my calculations, Jake has 4.5 Km/Hour. Let me know whether it's wrong or Right?

Venish said:   2 decades ago
I want to know simplify method for that equations x/y - x/y+3 = 40/ 60 and x/y-2 - x/y = 40/60....

Nagurum said:   9 years ago
@Zaid.

After finding the time and I cannot find the distance value, how to solve? Please help me.

Sandjive said:   6 years ago
@Pauli.
For Jake sum.
S*t=90.....1.
(S+15)(t-30/60)=90.......2.

Solving 2 eqn, answer: 45km/hr.


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