Question : Meena completed a journey in 33 hours. She travels one-fourth distance of the journey at the speed of 60 km/hr and the remaining distance at 40 km/hr. What is the total journey in km?
Option 1: 1220 km
Option 2: 480 km
Option 3: 1440 km
Option 4: 680 km
Correct Answer: 1440 km
Solution :
Let the total distance of the journey be D.
Meena travels one-fourth of the distance at the speed of 60 km/hr and the remaining distance at 40 km/hr.
$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$
The time is taken for the journey as,
$⇒\frac{D}{4\times 60} + \frac{3D}{4\times 40} = 33$
$⇒\frac{D}{240} + \frac{3D}{160} = 33$
$⇒2D + 9D = 15840$
$⇒11D = 15840$
$\therefore D=1440$ km
Hence, the correct answer is 1440 km.
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