Question

23)When a child goes to school at the speed of 5 km/h reaches 6 minutes late and when he goes a
the speed of 6 km/he reaches 6 minutes early. Find the distance between his home and school
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Answer 1

Answer:

6 Km

Step-by-step explanation:

As we know, distance = Vel*time

So, Case(1)

d = [5*(x + 6)] / 60. (Suppose x as time taken to react school)

d = (x + 6)/12

Case (2)

d = [6*(x - 6)] / 60

d = (x - 6) / 10

From solving equation from both cases as distance is same in both cases,

(x - 6) / 10 = (x + 6) / 12

x = 66 minutes

So, value of time in any of both equations

d = (66 + 6) / 12 = 6 km