# Arithmetic Aptitude :: Time and Distance

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**Discussion**

## 6. Virat travelled 75 kms in 7 hours. He went some distance at the rate of 12 km/hr and the rest at 10 km/hr. How far did he travel at the rate of 12 km/hr?

**Answer:**

**Option A**

**Explanation :**

Let the distance travelled at the rate of 12 kmph be x km

Time taken to travel this distance = x/12 .......(1)

Then the distance travelled at the rate of 10 km/hr will be (75 - x)

Time taken to travel this distance = (75 - x)/10 .......(2)

Total time taken to cover the total distance = 7 hrs

=>(x/12) + (75 - x)/10 = 7 [sum of (1) and (2)]

=> (10x + 900 - 12x) = 840

=> -2x = -60

=> x = 30.

Therefore, the distance travelled at the rate of 12 km/hr = 30km.