# Find The Distance Traveled By The Farmer ? If

Answered

A farmer traveled a distance of 61 km in 9 hrs. He traveled partily on foot at the rate of 4 km/hr and party on bicycle at the rate of 9 km/hr. The distance

- 16 km
- 14 km
- 17 km
- 15 km

Best answer

**Answer: (1) 16 km**

**Explanation:-**

The distance traveled by a farmer = 61 km

Total time taken by a farmer to travel the distance 61 km = 9 hrs.

Let the distance be X km which is covered with the speed of 4 km/hr.

Therefore, remaining distance = (61 – X) km

According to the question,

Then, X/ 4 + (61 – X)/ 9 = 9

(9 x X + 61 x 4 – X x 4) /36 = 9

(9 X + 244 – 4 X) = 9 x 36

9 X – 4 X = 324 – 244

5 X = 80

X = 80/16

X = 16 km

There are 16 km distance covered with the speed of 4 km/hr.

Hence, the answer is (1) 16 km.