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Punit goes from his home to his relative's place at a speed of 45 km/h. While returning from the relative's place, due to traffic,
it takes him an hour longer as he can only drive at the speed of 40 km/h. Find the distance (in km) of his relative's place from
his home.
400
720
180
360
- Punit travels to his relative's place at 45 km/h.
- While returning, he drives at 40 km/h and takes 1 hour longer.
- Let the distance be D km.
To his relative's place:
- Time taken = D45.
Returning home:
- Time taken = D40.
- It takes an hour longer to return, so:
$$
\frac{D}{40} = \frac{D}{45} + 1
- Solving this equation:
\frac{D}{40} - \frac{D}{45} = 1
\frac{5D}{1800} = 1
D = 360 \text{ km}
- Option 4: 360 km is correct.
-
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