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:
38 comments Page 3 of 4.
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.
Harsha said:
10 years ago
How comes (61- x) for a bicycle?
Manoj Singh said:
1 decade ago
Then, 2(4)(9)/4+9=4.
How it's please explain? We get 5.53.
How it's please explain? We get 5.53.
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?
6.7.
2.3 2.7.
= 61*23/27?
Why can't we solve like this?
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?
What if I take 5 hr for bicycle and 4 hr for foot. The answer will be 20 right?
Dhivagar said:
1 decade ago
Hi, its simple,
Total distance = 61 km.
Time taken = 9 hr.
Speed by foot = 4 km/hr.
Speed by bicycle = 9 km/hr.
So split the total hours into 2 parts like 4 hr + 5 hr = 9 hrs.
Multiply it with the speed by foot and bicycle like.
4 hr*4 km/hr = 16 km.
5 hr*9 km/hr = 45 km.
Add 16 + 45 = 61 km (total distance covered).
They asked distance covered by foot. So answer is 16. :).
Total distance = 61 km.
Time taken = 9 hr.
Speed by foot = 4 km/hr.
Speed by bicycle = 9 km/hr.
So split the total hours into 2 parts like 4 hr + 5 hr = 9 hrs.
Multiply it with the speed by foot and bicycle like.
4 hr*4 km/hr = 16 km.
5 hr*9 km/hr = 45 km.
Add 16 + 45 = 61 km (total distance covered).
They asked distance covered by foot. So answer is 16. :).
(1)
Jarman said:
1 decade ago
Total distance =61 km.
Let distance travelled by foot = x.
Let distance travelled by bicycle = y.
So, x+y = 61.
Also from above equation.
y = 61-x.
Let distance travelled by foot = x.
Let distance travelled by bicycle = y.
So, x+y = 61.
Also from above equation.
y = 61-x.
Anji said:
1 decade ago
Distance travelled on bicycle = (61 - x) km.
How it is explain please?
How it is explain please?
Ravi kiran Narra said:
1 decade ago
We can solve using avg method 2xy/x+y.
Let,
x=4.
y=9.
Then,
2(4)(9)/4+9=4.
Distance traveled on foot is 4 km/h.
So,
4*4=16.
Let,
x=4.
y=9.
Then,
2(4)(9)/4+9=4.
Distance traveled on foot is 4 km/h.
So,
4*4=16.
SID said:
1 decade ago
Well I have gotta doubt.
The equation which I made is (61-x)/4 + x/9 = 9.
And the answers which I am getting is 41 km/hr and 20 km/hr.
PLEASE HELP.
The equation which I made is (61-x)/4 + x/9 = 9.
And the answers which I am getting is 41 km/hr and 20 km/hr.
PLEASE HELP.
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