A journey takes 4 hours 30 minutes at a speed of 60 km/hr. If the speed is 15 m/s, then the journey will take :

A journey takes 4 hours 30 minutes at a speed of 60 km/hr. If the speed is 15 m/s, then the journey will take :
[A]5 hours
[B]5 hours 30 minutes
[C]6 hours
[D]6 hours 25 minutes

5 hours
$latex 60\ km/hr = 60\times \frac{5}{18}\ m/s = \frac{50}{3}\ m/s&s=1$
$latex \therefore\ Speed \propto \frac{1}{Time}&s=1$
$latex => S_{1}\times T_{1} = S_{2}\times T_{2}$
$latex => \frac{50}{3}\times \frac{9}{2} = 15\times T_{2}&s=1$
$latex => 75 = 15\times T_{2}$
$latex => T_{2} = \frac{75}{15} = 5\ hours&s=1$
Hence option [A] is correct answer.


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