Answer :

Explanation:

Explanation:

As per the provided information in the given question, we have :

A car travels first 50 km at a uniform speed of 25 km/h.

And, next 60 km at a speed of 20 km/hr.

We are asked to calculate the average speed of the car.

(

)

=

⟼Speed

(avg)

=

Totaltime

Totaldistance

Calculating total distance :

D

i

s

t

a

n

c

e

(

T

o

t

a

l

)

=

D

i

s

t

a

n

c

e

(

A

B

)

+

D

i

s

t

a

n

c

e

(

B

C

)

⟼Distance

(Total)

=Distance

(AB)

+Distance

(BC)

D

i

s

t

a

n

c

e

(

T

o

t

a

l

)

=

50

k

m

+

60

k

m

⟼Distance

(Total)

=50km+60km

(

)

=

110

⟼Distance

(Total)

=110km

∴ Total distance travelled is 110 km.

\rule{200}2

Calculating total time :

T

i

m

e

(

T

o

t

a

l

)

=

T

i

m

e

(

A

B

)

+

T

i

m

e

(

B

C

)

⟼Time

(Total)

=Time

(AB)

+Time

(BC)

Time = Distance/Speed

T

i

m

e

(

T

o

t

a

l

)

=

D

i

s

t

a

n

c

e

(

A

B

)

S

p

e

e

d

(

A

B

)

+

D

i

s

t

a

n

c

e

(

B

C

)

S

p

e

e

d

(

B

C

)

⟼Time

(Total)

=

Speed

(AB)

Distance

(AB)

+

Speed

(BC)

Distance

(BC)

T

i

m

e

(

T

o

t

a

l

)

=

(

50

25

+

60

20

)

h

⟼Time

(Total)

=(

25

50

+

20

60

)h

T

i

m

e

(

T

o

t

a

l

)

=

(

2

+

3

)

h

⟼Time

(Total)

=(2+3)h

(

)

=

5

⟼Time

(Total)

=5h

∴ Total time taken is 5 hours.

\rule{200}2

Calculating average speed :

S

p

e

e

d

(

a

v

g

)

=

T

o

t

a

l

d

i

s

t

a

n

c

e

T

o

t

a

l

t

i

m

e

⟼Speed

(avg)

=

Totaltime

Totaldistance

S

p

e

e

d

(

a

v

g

)

=

110

k

m

5

h

⟼Speed

(avg)

=

5h

110km

(

)

=

22

1

⟼Speed

(avg)

=22kmh

−1

∴ Average speed of the car is 22 km/h.

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