Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 14)
14.
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
14 km
15 km
16 km
17 km
Answer: Option
Explanation:

Let the distance travelled on foot be x km.

Then, distance travelled on bicycle = (61 -x) km.

So, x + (61 -x) = 9
4 9

9x + 4(61 -x) = 9 x 36

5x = 80

x = 16 km.

Discussion:
38 comments Page 4 of 4.

Suchitra said:   1 decade ago
@Dhivagar.

What if I take 5 hr for bicycle and 4 hr for foot. The answer will be 20 right?

Kawla said:   9 years ago
How can 5x=80? just explain it.

Mohit said:   1 decade ago
Please someone tell why the answer is not coming by allegation? I used foot on left 4 9.

6.7.
2.3 2.7.

= 61*23/27?

Why can't we solve like this?

JPriya said:   9 years ago
Partly means is it not (x/2 )/4+(x/2)/9=9 if d is taken as the total distance?

Please tell me.

Mohanapriyasavithri said:   9 years ago
This can be solved easily by the rule of alligation.

Take average speed as 61÷9 (speed formula is ditance÷time).

Take the dearer value cheaper value & apply alligation rule.

Manoj Singh said:   1 decade ago
Then, 2(4)(9)/4+9=4.

How it's please explain? We get 5.53.

Sidharth.j said:   10 years ago
Please someone helps me, they have asked only for bare foot then why are we considering the bicycle also?

v = d/t:
we know the time for the full trip (i.e) 9 hours.
He walks bare foot at speed of 4kmph;
why can't we just multiply and find the answer?
d = v * t;
d = 9 * 4.
d = 36km.

Sidzwozz said:   10 years ago
You answered very well, simple, efficient and quick. @Dihvagar.

@Suchitra.

Yes you are right but There is no option saying 20. You have to first check your options because that's where we will find out our mistakes in calculation.


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