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:
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:
37 comments Page 2 of 4.
Neeraj said:
6 years ago
S = D/T.
4 = 61-x/9.
x = 16.
4 = 61-x/9.
x = 16.
(6)
Bindu D K said:
6 years ago
First total distance is 61km and time is 9 hour.
S=d/t, s= 61/9=6.7~6.8.
Then apply this formula for different speeds;
2xy/X+y = 6.8,
72/13 = 6.8,
72=13 * 6.8,
72-88.4 = 16.4~16.
S=d/t, s= 61/9=6.7~6.8.
Then apply this formula for different speeds;
2xy/X+y = 6.8,
72/13 = 6.8,
72=13 * 6.8,
72-88.4 = 16.4~16.
(4)
Amit said:
6 years ago
By Using alligation method.
4:5=9.
So, 4 * 4 = 16 by walking,
5*9 = 45 by cycle.
4:5=9.
So, 4 * 4 = 16 by walking,
5*9 = 45 by cycle.
(2)
Kawla said:
8 years ago
How can 5x=80? just explain it.
Maruti said:
8 years ago
X/4 is km ph.
(61-x)/9 is also kmph.
When these are added it should give kmph.
Why only 9 is thereafter =, why not 61/9?
Please, anyone clear my doubt.
(61-x)/9 is also kmph.
When these are added it should give kmph.
Why only 9 is thereafter =, why not 61/9?
Please, anyone clear my doubt.
(3)
JPriya said:
8 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.
Please tell me.
Mohanapriyasavithri said:
8 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.
Take average speed as 61÷9 (speed formula is ditance÷time).
Take the dearer value cheaper value & apply alligation rule.
Sani ahire, roshan ahire said:
8 years ago
Total distance D = 61
4km/hr for 4 hr = 16
9km/hr for 5 hr = 45
Adding 45+16=61.
Hence answer =16.
4km/hr for 4 hr = 16
9km/hr for 5 hr = 45
Adding 45+16=61.
Hence answer =16.
(2)
Sidharth.j said:
9 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.
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:
9 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.
@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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