Question

Preeti walked 3 km in 40 minutes and Raunak walked 4 km in 50 minutes
Find the ratio of their walking speed.
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Answer 1

Answer:

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Answer 2

Answer :

= 15 : 16

Step-by-step explanation :

$\textbf{\underline{\underline{Speed :}}}$

• It is the rate of change of position of an object.

          $\boxed{\bf Speed=\frac{Distance \ covered}{time \ taken}}$

• It is a scalar quantity.
• Units : m/s (SI) , cm/s (CGS)
• Dimensional Formula : M⁰L¹T⁻¹

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• Preeti walked 3 km in 40 minutes

        walking speed of Preeti ,

                 $=\frac{3 \ km}{40 \ min} \\\\ =\frac{3000 \ m}{40 \times60 \ sec} \\\\ =\frac{30}{24} \ m/s \\\\ = \frac{5}{4} \ m/s$

• Raunak walked 4 km in 50 minutes

          walking speed of Raunak ,

                 $=\frac{4 \ km}{50 \ min} \\\\ =\frac{4000 \ m}{50 \times 60 \ sec} \\\\ =\frac{40}{30} \ m/s \\\\ =\frac{4}{3} \ m/s$

• Ratio of their walking speeds,      

                     $=\bf{\frac{Preeti's \ walking \ speed}{Raunak's \ walking \ speed} } \\\\ =\frac{\frac{5}{4} \ m/s}{\frac{4}{3} \ m/s} \\\\ =\frac{5}{4} \times \frac{3}{4} \\\\ =\frac{15}{16}$

Therefore,

  Ratio of their walking speeds = 15 : 16