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ICSE Class 10 Answered

A boy cycles to his friend's house, 8 km away, against the wind which blows at 6 km/hr. After some time he returns and notes that the double trip took him 2 hours 30 minutes. Find the boy cycling speed in still air if on the return trip he cycles with the wind.
Asked by khushdab | 03 Apr, 2020, 02:37: PM
answered-by-expert Expert Answer
Let space the space speed space of space boy space be space straight x space km divided by hr
when space against space wind
speed space equals space straight x minus 6
time equals fraction numerator 8 over denominator straight x minus 6 end fraction

with space wind space
speed space equals space straight x plus 6
time equals fraction numerator 8 over denominator straight x plus 6 end fraction

total space time equals 2.5 space hrs
fraction numerator 8 over denominator straight x minus 6 end fraction plus fraction numerator 8 over denominator straight x plus 6 end fraction equals 2.5
on space solving space we space get
straight x equals 10 km divided by hr
Answered by Arun | 04 Apr, 2020, 09:12: AM
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