Question : Aman drove from home to a town at the speed of 60 km/hr and on his return journey, he drove at the speed of 30 km/hr and also took an hour longer to reach home. What distance did he cover each way?
Option 1: 75 km
Option 2: 55 km
Option 3: 60 km
Option 4: 80 km
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Correct Answer: 60 km
Solution :
Let the distance between home to town be $d$ km.
Time from home to town = $T$ hours
Time from town to home = $(T+1)$ hours
We know that,
Speed = $\frac{\text{Distance}}{\text{time}}$
Since, both the distances are the same.
$\therefore 60\times T=30 \times(T+1)$
⇒ $60T=30T+30$
⇒ $T=1$
Distance from home to town = $60\times1=60$ km
hence, the correct answer is 60 km.
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