Question

motorcycle covers a distance of 560m in 1 minute where as a bus covers a distance of 35 kilometre in 3/4 hours.then the ratio of their speeds.​

Answer 1

Answer:-

Case-1

• Distance=560m
• Time=1min=60s

We know that

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

$\\ \rm\longmapsto Speed=\dfrac{560}{60}$

$\\ \rm\longmapsto Speed=9.3m/s$

Case-2:-

• Distance=35km
• Time=3/4hour

$\\ \rm\longmapsto Speed=\dfrac{35}{\dfrac{3}{4}}$

$\\ \rm\longmapsto Speed=\dfrac{35\times 4}{3}$

$\\ \rm\longmapsto Speed=\dfrac{140}{3}$

$\\ \rm\longmapsto Speed=46.6km/h$

Convert it to m/s

$\\ \rm\longmapsto 46.6\times \dfrac{5}{18}$

$\\ \rm\longmapsto \dfrac{233}{18}$

$\\ \rm\longmapsto 12.9m/s$

Finding Ratio:-

$\\ \rm\longmapsto \dfrac{9.3}{12.9}$

$\\ \rm\longmapsto \dfrac{1}{4}(Approx)$

$\\ \rm\longmapsto 1:4$