Question

a person moves for 200km with 50 kmph next 300 km with 90 kmph and the next 150km with 100kmph speed. find the average speed of the whole journey

Answer 1

Answer:

2.70 m/s

Explanation:

a = total d/total time

200+300+150/100+90+50

650/240

= 2.70m/s

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Answer 2

$\bf{\gray{\underbrace{\blue{Given:–}}}}$

The person moves for 200 km with 50 kmph next 300 km with 90 kmph and the next 150 km with 100 kmph speed.

$\bf{\gray{\underbrace{\blue{To\:find:–}}}}$

The average speed of the whole journey = ?

$\bf{\underbrace{\blue{Solution:–}}}$

Time for first part :-

t₁ = 200/50 hr = 4 hr

Time for second part :-

t₂ = 300/90 hr = 3.3 hr

Time for third part :-

t₃ = 150/100 hr = 1.5 hr

$\boxed{\bf{\red{Average\:speed=\frac{Total\:distance}{Total\:time}}}}$

.°. $Average\:speed=\frac{s₁+s₂+s₃}{t₁+t₂+t₃}$

$Average\:speed=\frac{200+300+150}{4+3.3+1.5}$

$Average\:speed=\frac{650}{8.8}\:km/hr$

$\boxed{\bf{\purple{Average\:speed=73.864\:km/hr(approximately)}}}$

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