A boys runs 20 km in 2.5 hours. How long will he take to run 32 km at double the previous speed?

# A boys runs 20 km in 2.5 hours. How long will he take to run 32 km at double the previous speed?

1. A

2 hours

2. B

$2\frac{1}{2}\text{\hspace{0.17em}\hspace{0.17em}}hours$

3. C

$4\frac{1}{2}\text{\hspace{0.17em}\hspace{0.17em}}hours$

4. D

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### Solution:

The boys covers 20 kms in 2.5 hours

$Speed=\frac{\text{20\hspace{0.17em}\hspace{0.17em}km}}{2.5\text{\hspace{0.17em}\hspace{0.17em}}hrs}=8\text{\hspace{0.17em}\hspace{0.17em}}km/hr$

$New\text{\hspace{0.17em}\hspace{0.17em}}speed\text{\hspace{0.17em}\hspace{0.17em}}is=8×2\text{\hspace{0.17em}\hspace{0.17em}}km/hr=16\text{\hspace{0.17em}\hspace{0.17em}}km/hr$

$\therefore \text{\hspace{0.17em}\hspace{0.17em}}Time=\frac{32\text{\hspace{0.17em}\hspace{0.17em}}km}{16\text{\hspace{0.17em}\hspace{0.17em}}km}hr=2hrs$

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