Question

In a marathon, runner A covers 25 km in 2 hours and runner B covers 35 km in 3 hours. The difference in their speeds is

• A. $\frac{5}{6}kmph$
• B. $\frac{10}{2}kmph$
• C. $\frac{5}{3}kmph$
• D. $\frac{10}{3}kmph$

Answer 1

The correct option is A $\frac{5}{6}kmph$

$\text{Runner A covers 25 km in 2 hours}$

$⟹\frac{25}{2}\text{km per h}=\frac{25\times 3}{2\times 3}=\frac{75}{6}\text{km per h}$

$\text{Runner B covers 35 km in 3 hours}⟹\frac{35}{3}\text{km per h}=\frac{35\times 2}{3\times 2}=\frac{70}{6}\text{km per h}$

$\text{Calculating the difference between the}\text{runners' speed, we get:}$

$\frac{75}{6}\text{km per h}-\frac{70}{6}\text{km per h}=\frac{(75-70)}{6}\text{km per h}=\frac{5}{6}\text{km per h}$

$\therefore \text{The difference between the speed of}\text{the runners is}\frac{5}{6}\text{kmph}.$