Question

A boy go to his school which is 12 km from
If the boy increased his speed by 1 km/hrbe
the school 1 hour before. Find speed of a
sed his speed

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Answer 1

A boy goes from his house to school by bus at a speed of 20 km/h and returns back through the same route at a speed of 30 km/h . What is the average speed of his journey?

Here is your answer------

Let the distance between the school and the house is x km

speed of the boy from house to school = 20 km/hr.

Using formula, Time taken = distance/speed

So, time taken = x/20 hours.

Also,

Speed of the boy from school to the house = 30 km/hr

so, time taken = x/30 hours.

Total time taken = x/20 + x/30

= x/12 hours

Also total distance covered by boy = x +x

= 2 x km.

Using formula,

Average speed = Total distance/ Total time

= 2 x/(x/12)

= 24 km/hr.

Thus, average speed of the boy's journey is 24 km/hr.

Hope this will help u.

Have a nice day.

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Answer 2

Given:

Distance from home to school = 12 km

Speed increased = 1 km/ hour

time reached by increasing the speed = 1 hour before

To find:

Speed of walking

Solution:

Let the initial speed be v.

Let the initial time be t.

we know,

distance = speed × time

now, the change in the speed was = v+1

and the change in the time was = t-1

Therefore, ⇒ distance = speed × time

                 ⇒ 12 km = changed speed × changed time

                 ⇒ 12 km = (v+1)×(t-1)   ------- eq 1

also, ⇒ distance = speed × time

        ⇒ 12km = v × t    -------- eq 2

solving equation 1 and 2 we get

        =>t-v-1 = 0

        => t-v = 1

and => t + v = 5

therefore solving these we get speed = 2 km/hour

Hence, the the speed of walking is 2 km/hour.