Question : Julie and Soma start from the same point and walk in opposite directions. Julie walks 4 km/hr faster than Soma. After 4 hours they are 40 km apart. How fast did each walk?
Option 1: Julie – 8 km/hr; Soma – 4 km/hr
Option 2: Julie – 7 km/hr; Soma – 3 km/hr
Option 3: Julie – 9 km/hr; Soma – 5 km/hr
Option 4: Julie – 10 km/hr; Soma – 6 km/hr
Correct Answer: Julie – 7 km/hr; Soma – 3 km/hr
Solution :
Let's denote Soma's speed as S km/hr.
Since Julie walks 4 km/h faster, her speed is = S + 4 km/hr
After 4 hours, Soma has covered a distance of 4S km, and Julie has covered a distance of 4(S + 4) km.
The total distance they cover together in 4 hours is the sum of their distances:
Total Distance = 4S + 4(S + 4)
According to the question,
40 = 4S + 4S + 16
⇒ 40 = 8S + 16
⇒ 8S = 24
$\therefore$ S = 3
So, Soma's speed is 3 km/hr. Since Julie walks 4 km/hr faster, her speed is 3 + 4 = 7 km/hr.
Hence the correct answer is Julie – 7 km/hr; Soma – 3 km/hr.
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