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Speed vs Velocity

Rishi walks t...

Question

Rishi walks to his school which is at a distance of 4.5 km from his home in 45 minutes. On reaching he finds that the school is closed and comes back by bus and reaches home in 15 minutes. Find his average speed in km/h.

6

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4.5

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3

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9

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Solution

The correct option is D $9$
$G i v e n : D i s tan c e b e t w e e n h o m e a n d s c h o o l = 4.5 k m T i m e t a k e n t o r e a c h s c h o o l = 45 m i n s T i m e t a k e n t o r e t u r n h o m e = 15 m i n s N o w, T o t a l d i s tan c e t r a v e l l e d = d i s tan c e t o r e a c h s c h o o l + d i s tan c e t o r e t u r n h o m e = 4.5 + 4.5 = 9 k m T o t a l t i m e t a k e n = t i m e t a k e n t o r e a c h s c h o o l + t i m e t a k e n t o r e t u r n h o m e = 45 + 15 = 60 m i n u t e s = \frac{60}{60} = 1 h r A s, 1 h = 60 m i n s N o w, A v e r a g e S p e e d = \frac{T o t a l D i s tan c e}{T o t a l T i m e t a k e n} = \frac{9}{1} k m / h = 9 k m / h$

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