JAMB Mathematics 2023 Paper

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

⇒ Time = $\frac{\text{Distance}}{\text{Time}}$

Let D = distance between the two airports

∴ Time taken to get to the airport = $\frac{D}{120}$ and Time taken to return =$\frac{D}{150}$

Since total time of flight= 3hours,

⇒ $\frac{D}{120} + \frac{D}{150}$ = 3

⇒ $\frac{15D + 12D}{1800}$ = 3

⇒ $\frac{27D}{1800}$ = 3

⇒ $\frac{3D}{200} = \frac{3}{1}$

⇒ 3D = 200 x 3

∴ D =$\frac{200 \times 3}{3}$= 200km