Question

a man went 75 kilometre in 7 hours. he went some distance at the rate of 12 kilometre per hour and the rest at 10 km per hour. how far did he go at the rate of 12 kilometre per hour.
pls only frame the equation.
who gives me 1st ans will be marked as brailiest(or whatever).​

Answer 1

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.

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