Question : 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.
Option 1: 400
Option 2: 720
Option 3: 180
Option 4: 360
Correct Answer: 360
Solution :
Given,
Speed while going = 45 km/h
Speed while returning = 40 km/h
Time is taken while returning - Time taken while going = 1 hour
We know, Distance = Speed $\times$ Time
Let's assume the distance between Punit's home and his relative's place to be '$d$' km.
Then, the time taken while going would be:
Time = $\frac{d}{45}$
While returning, the time taken would be:
Time = $\frac{d}{40}$
According to the question,
$\frac{d}{40} - \frac{d}{45} = 1$
⇒ $\frac{9d-8d}{360}=1$
⇒ $d$ = 360 km
Hence, the correct answer is 360 km.
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