Question

A bus travelling the first one third distance at a speed of 10 km/h, the next one third at 20 km/h and the last one-third at 60 km/h. the average speed of the bus is

Answer 1

Let total distance be x

It covered
x/3 at 10
x/3 at 20
x/3 at 60

Times taken respectively are { d / t }
x / 30
x / 60
x / 180 respectively

total time = x/30 + x /60 + x/180
= 10x / 180
= x / 18

Average speed of bus (avg s )
= total distance / total time

avg s = x / {x/18}
avg s = 18 km / h


ANSWER = 18 km/hr

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Answer 2

Let total distance be x

It covered

x/3 at 10

x/3 at 20

x/3 at 60

Times taken respectively are { d / t }

x / 30

x / 60

x / 180 respectively

total time = x/30 + x /60 + x/180

= 10x / 180

= x / 18

Average speed of bus (avg s )

= total distance / total time

avg s = x / {x/18}

avg s = 18 km / h

ANSWER = 18 km/hr

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