# 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 |

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

5*x* = 80

*x* = 16 km.

Discussion:

35 comments Page 1 of 4.
Mohamed Haakkil said:
7 months ago

61km travel in 9hours.

4kmph by foot --> taken time is "x"

9kmph by bicycle --> taken time is "y"

So,

x + y = 9 ---> (1)

Distances = speed × time.

Distance by foot--> 4 × x = 4x.

Distance by bicycle--> 9 × y = 9y.

So,

4x + 9y = 61 ----> (2)

If we solve (1) & (2) equations, we can got.

y = 5

x = 4.

So;

Distance by foot = 4x,

=4 × 4.

=16km.

4kmph by foot --> taken time is "x"

9kmph by bicycle --> taken time is "y"

So,

x + y = 9 ---> (1)

Distances = speed × time.

Distance by foot--> 4 × x = 4x.

Distance by bicycle--> 9 × y = 9y.

So,

4x + 9y = 61 ----> (2)

If we solve (1) & (2) equations, we can got.

y = 5

x = 4.

So;

Distance by foot = 4x,

=4 × 4.

=16km.

(10)

NOOWE ANNAH said:
1 year ago

Very interesting, Thanks, everyone.

(1)

Psan said:
3 years ago

It's very easy.

Farmer travels - 4km/hr.

Speed = 4km/hr and Time = 4 hours.

HOW?

- Well in 1 hour he travels 1 Km, then in 4 hours he will travel 4km.

So, Distance = Speed * Time.

= 4km/hr * 4hr.

= 16km (Hr gets cancel).

Farmer travels - 4km/hr.

Speed = 4km/hr and Time = 4 hours.

HOW?

- Well in 1 hour he travels 1 Km, then in 4 hours he will travel 4km.

So, Distance = Speed * Time.

= 4km/hr * 4hr.

= 16km (Hr gets cancel).

(34)

Nikita said:
3 years ago

Here in this question, multiple of 4 is the distance traveled. Which is 16.

(1)

Madhav said:
3 years ago

Let the dist traveled on foot and bicycle be x&y.

Here total dis ie x + y = 61 ---> (1)

Also total time = 9,

So x/4 + y/9 =9,

9x+4y =324 ---> (2).

So, Eq 1 and 2 we get x =16, y = 45.

Here total dis ie x + y = 61 ---> (1)

Also total time = 9,

So x/4 + y/9 =9,

9x+4y =324 ---> (2).

So, Eq 1 and 2 we get x =16, y = 45.

(9)

Shekh Areful said:
3 years ago

From options it will be simple to solve;

61-14 = 47,

61-15 = 46,

61-16 (Dist travelled by foot) = 45, Only this is divisible by 9.

So the answer is 16.

Note: This is applicable here only because the hours are given in terms of Integers, not in fraction.

And the answer will only be the multiple of 4.

61-14 = 47,

61-15 = 46,

61-16 (Dist travelled by foot) = 45, Only this is divisible by 9.

So the answer is 16.

Note: This is applicable here only because the hours are given in terms of Integers, not in fraction.

And the answer will only be the multiple of 4.

(2)

Puli said:
3 years ago

9 hours mean 9 times. So the procedure is;

4km, 9km,

4km, 9km,

4km, 9km,

4km, 9km.

So on foot, he travelled 16 km.

4km, 9km,

4km, 9km,

4km, 9km,

4km, 9km.

So on foot, he travelled 16 km.

(5)

Sayoo_26 said:
4 years ago

Logically, if he travels x km by feet then reaming distance should be in multiples of 9 since he had travelled remaining distance with 9kmph.

Let we try from options:

A. 14 remaining distance=61-14=47 which is not multiple of 9 since get cancelled.

B. 15 remaining distance= 61-15=46 also not multiple of 9 so cancelled.

C. 16 remaining distance=61-16=45 it's multiple of 9 so we get the answer.

Let we try from options:

A. 14 remaining distance=61-14=47 which is not multiple of 9 since get cancelled.

B. 15 remaining distance= 61-15=46 also not multiple of 9 so cancelled.

C. 16 remaining distance=61-16=45 it's multiple of 9 so we get the answer.

(3)

Neeraj said:
5 years ago

S = D/T.

4 = 61-x/9.

x = 16.

4 = 61-x/9.

x = 16.

(5)

Bindu D K said:
5 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.

(1)

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