Question

28. A man went 75 km in 7 hours. He went some
distance at the rate of 12 km per hour and
the rest at 10 km per hour. How far did he go
at 12 km per hour ?​

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

plzz follow me and thank you