# Find the Total Journey in km :

A car complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

- 220 km
- 224 km
- 230 km
- 234 km

**Answer: (2) 224 km**

**Explanation:-**

Let the total distance of journey be X km.

Total time taken by a car to cover a journey = 10 hours

The speed of car for half journey = 21 km/hr

The speed of car for second half journey = 24 km/hr

Then, X/2 x 21 + X/2 x 24 = 10

X (24 + 21)/2 x 21 x 24 = 10

45 X/42 x 24 = 10

45 X = 10 x 42 x 24

45 X = 10080

X = 10080/45

X = 224 km

Then, the distance of total journey is 224 km.

Hence, the answer is (2) 224 km.