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A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and taken a total time of 47 minutes. The total distance (in km) is :
Answer & Solution
Correct Answer:
Option
B
Let the total distance be 3x km
Then,
$$\eqalign{ & \Leftrightarrow \frac{x}{3} + \frac{x}{4} + \frac{x}{5} = \frac{{47}}{{60}} \cr & \Leftrightarrow \frac{{47x}}{{60}} = \frac{{47}}{{60}} \cr & \Leftrightarrow x = 1 \cr} $$
∴ Total distance = (3 × 1) km = 3 km
Then,
$$\eqalign{ & \Leftrightarrow \frac{x}{3} + \frac{x}{4} + \frac{x}{5} = \frac{{47}}{{60}} \cr & \Leftrightarrow \frac{{47x}}{{60}} = \frac{{47}}{{60}} \cr & \Leftrightarrow x = 1 \cr} $$
∴ Total distance = (3 × 1) km = 3 km
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