Question

A boat takes‘t’ hours to cover ‘x’ km. If the boat is travelling at a uniform speed, then the time taken to cover x+5 km will be

• A. t(x+5)/x hrs
• B. t(x+5)/5 hrs
• C. t+5 hrs
• D. x+5 hrs

Answer 1

The correct option is A

t(x+5)/x hrs

Speed of the boat = Distance travelled/Time taken= $\frac{x}{t}$ km/hr

Since the speed of boat is constant, the speed of boat while travelling x+5 km will be $\frac{x}{t}$

Speed = $\frac{Distance}{Time}$

$\frac{x}{t}=\frac{x+5}{Time}$

Cross multiplying,

x $\times$ Time = t $\times$ (x+5)

Time = $\frac{t(x+5)}{x}$ hr