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Question Number 171153 by Mastermind last updated on 08/Jun/22

An aeroplane covers a certain distance  at a speed of 240kmph in 5 hours.  to cover the same distance in 1(2/3) hrs,  it must travel at a speed of:  A) 300kmph  B) 360kmph  C) 600kmph  D) 700kmph    Mastermind

$${An}\:{aeroplane}\:{covers}\:{a}\:{certain}\:{distance} \\ $$$${at}\:{a}\:{speed}\:{of}\:\mathrm{240}{kmph}\:{in}\:\mathrm{5}\:{hours}. \\ $$$${to}\:{cover}\:{the}\:{same}\:{distance}\:{in}\:\mathrm{1}\frac{\mathrm{2}}{\mathrm{3}}\:{hrs}, \\ $$$${it}\:{must}\:{travel}\:{at}\:{a}\:{speed}\:{of}: \\ $$$$\left.{A}\right)\:\mathrm{300}{kmph} \\ $$$$\left.{B}\right)\:\mathrm{360}{kmph} \\ $$$$\left.{C}\right)\:\mathrm{600}{kmph} \\ $$$$\left.{D}\right)\:\mathrm{700}{kmph} \\ $$$$ \\ $$$${Mastermind} \\ $$

Answered by Rasheed.Sindhi last updated on 08/Jun/22

Total distance covered in 5 hours  with spped 240 kmph  =240×5=1200km      v^(−) =((1200)/(1(2/3)))=1200×(3/5)=720kmph

$$\mathcal{T}{otal}\:{distance}\:{covered}\:{in}\:\mathrm{5}\:{hours} \\ $$$${with}\:{spped}\:\mathrm{240}\:{kmph} \\ $$$$=\mathrm{240}×\mathrm{5}=\mathrm{1200}{km} \\ $$$$\:\:\:\:\overline {{v}}=\frac{\mathrm{1200}}{\mathrm{1}\frac{\mathrm{2}}{\mathrm{3}}}=\mathrm{1200}×\frac{\mathrm{3}}{\mathrm{5}}=\mathrm{720}{kmph} \\ $$

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