# Find Out the Distance.

A motor car completes a journey in 12 hours, the first half at the speed of 22 km/hr. and the second half at the speed of 26 km/hr. Find the distance?

- 188 km
- 286 km
- 350 km
- None of these

**Answer: (2) 286 km**

**Explanation:-**

Let the total distance of journey is X km.

Time taken by car to covered the journey = 12 hr.

The first half distance covered at the speed of 22 km/hr.

Then, time taken by a car = X/ 2 x 22

= X/ 44 hr.

And second half distance covered at the speed of 26 km/hr.

Then, X / 2 x 26

= X / 52 hr.

Then, total time taken by the car = X/ 44 + X/ 52 = 12

(13 X + 11 X) / 572 = 12

24 X = 12 x 572

X = 572 x 12 / 24

X = 572 / 2

X = 286 km

Then, the total distance is 286 km.

Hence, the answer is (2) 286 km.