A car travels first half distance between two places

Asked by admin @ 10/08/2021 in Physics viewed by 301 People

A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is:

Answered by admin @ 10/08/2021

Answer:

Average speed of the car = 48 km/h

Step by step explanations :

Given that,

A car travels first half distance between two places

with a speed of 40 km/hr

and rest of the half distance with a speed of 60 km/hr.

1st Method :

let the total distance travelled by car

be s

so,

time taken to cover s/2 at 40 km/h

= (s/2)/40

= s/80 h

time taken to cover s/2 at 60 km/h

= (s/2)/60

= s/120 h

now,

Average speed of the car = total distance covered/total time taken

total distance covered = s

total time taken = s/80 + s/120

(3s + 2s) /240

5s/240

= s/48 h

so,

now we have,

distance covered = s

time taken = s/48

so,

Average speed = s/(s/48)

= 48s/s

= 48 km/h

so,

Average speed of the bus

= 48 km/h

________________

2nd Method :

let the 1st speed be V1

2nd speed be V2

so,

V1 = 40 km/h

V2 = 60 km/h

Average speed

= 2V1V2/(V1 + V2)

putting the values,

2 × 40 × 60/(40 + 60)

80 × 60/100

48 km/h

so,

Average speed of car = 48 km/h

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