Management Aptitude Test 2015 Paper

(a) Let the total distance = x km
Total time of journey = 5 h
We know that,
Time = $\frac{\mathrm{Distance}}{\mathrm{Speed}}$
⇒ $\frac{\mathit{x}}{2}\times \frac{1}{40}$ + $\frac{\mathit{x}}{2}\times \frac{1}{60}$ = 5
⇒ $\frac{\mathit{x}}{80}\times \frac{\mathit{x}}{120}$ = 5
⇒ x$\left(\frac{1}{80}\times \frac{1}{120}\right)$ = 5
⇒ x$\left(\frac{3+2}{240}\right)$ = 5
⇒ x = $\frac{5\times 240}{5}$
∴ x = 240 km
Distance travelled by car = 240 km