girl undertook a journey partly by auto and partly on foot. If she walked at 4kmph and the auto had a speed of 25kmph, she took 42 minutes for the entire journey. What was the distance she covered on foot if her average speed was 10kmph?
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Answer:
She covers a distance of 2km on foot.
Step-by-step explanation:
Let the velocity of auto (Va) = 25km/hr
and the velocity on foot (Vb) = 4km/hr
Average velocity= total distance/ total time
therefore, 10 km/hr= S/ 42/60
we divided total time by 60 as it is in minutes and we need to convert it into hour.
Solving this we get total distance as 7 km.
Now, let the distance covered on foot be 'x'.
Vb= X/ t
4= X/t
t= X/4 hr
similarly,
25= (7-x)/ t'
t'= (7-x)/ 25
As we know total time is 42/60 hr.
therefore t+ t' = 42/60
X/4 + (7-x)/25 = 42/60
Solving this we get X= 2km...hence the ans is 2 km...
hope you understand......
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