Amir goes to his college from his house at a speed of 4km/hr and returns at a speed of 2 km/hr.
Amir goes to his college from his house at a speed of 4km/hr and returns at a speed of 2 km/hr. If he takes 4 hours to go and come, find the distance between his house and school.
आमिर अपने घर से कॉलेज 4 किमी/घंटा की गति से जाता है और 2 किमी/घंटा की गति से वापस आता है। यदि आने-जाने में उसे कुल 4 घंटे लगते हैं, तो उसके घर और कॉलेज के बीच की दूरी ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
5.33 km
Let the distance between house and college be d km.
Time taken to go = $\frac{d}{4}$ hours
Time taken to return = $\frac{d}{2}$ hours
Total time = 4 hours
$\frac{d}{4} + \frac{d}{2} = 4$
$\frac{d}{4} + \frac{2d}{4} = 4$
$\frac{3d}{4} = 4$
3d = 16
$d = \frac{16}{3}$
d = 5.33
Correct Answer: 5.33 km
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