Virat Travelled 75 Kms In 7 Hours. He Went Some Distance At The Rate

1.	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» 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. 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.

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»

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.

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

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