Question

A certain distance is covered at a certain speed $\left(s_1\right)$. If half of this distance is covered in double the time at speed $\left(s_2\right)$. Find the ratio of the two speeds. Also, if $s_1$ is 60 km/hr, find $s_2$.

• A. 1:16, 3.75 km/hr
• B. 4:1, 15 km/hr
• C. 2:1, 30 km/hr
• D. 2:8, 240 km/hr

Answer 1

The correct option is B 4:1, 15 km/hr

In the given question for speed $s_1$ let the distance be $x$ and time be $t$.
And for Speed $s_2$ let the distance be $\frac{x}{2}$ and time be $2t$ (as per question).
Now ratio is $\frac{S_1}{S_2}$

$\frac{\frac{x}{t}}{\frac{\frac{x}{2}}{2t}}$=4:1
Now $\frac{S_1}{S_2}=4:1$

Then $\frac{60}{S_2}=4:1$

Hence $S_2=15Km/hr$