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.

Singh said:   9 years ago
Simplest formulae (S + 3)/(s - 2) = 3t2/2t1,
Solving we get s = 12km/h.

Sridharan said:   9 years ago
How can I get the actual speed?

Manish said:   9 years ago
WE KNOW,

DISTANCE = SPEED * TIME.

Then,

(speed+3) * (time - 40/60) = (speed - 2) (time + 40/60) = distance, I am not getting answer,
Can anyone explain by this method?

Harjeet said:   9 years ago
@Pauli.
45.
.5 = 90/x - 90/x + 15.

Dhivakar said:   9 years ago
If 3km/hr faster than actual speed, it takes 40 minutes less time to complete.
If 2km/hr slower, it takes 40 minutes more.

So,

If we take condition 1, it would be 2km more than the actual distance at the actual time.(3km/hr, so 2km in 40 minutes)

If we take condition 2, it would be 4/3 km less than the actual distance at the actual time.(2km/hr, so 4/3 km in 40 minutes)

Now the difference between the two condition is 80 minutes and the distance is 2 + 4/3.
Distance = speed * time.
So, we equate, 10/3 = x/80 * 60(multiplying 60 is for hour conversion).
So, x = 40.

Gursewak singj said:   9 years ago
It is tough to find the solution. Can anybody solve it in a simple way?

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?

PaulI said:   9 years ago
How about this question?

Had Jake traveled 15 kph faster, the 90 km trip would have taken him 30 mins earlier. What is his speed?

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

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

Nagurum said:   9 years ago
@Zaid.

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


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