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Answer :
Final answer:
Jack's speed is (c) 5 kmph. This is found by setting up and solving an equation based on the given information about speed, time, and distance for Jack and Paul's walks.
Explanation:
The problem involves working with the concepts of speed, time, and distance. Here, we know that Jack and Paul each walked the same distance of 24 km, and that their combined speed is 7 km per hour. Also, we know that they took a combined total of 14 hours to complete their walks.
Speed is simply distance divided by time. Since their combined speed is 7 km/h, you would add up their individual speeds to get this number. Hence, we can represent Jack's speed as 'x' and Paul's speed as '7-x'.
Now, we use the formula Time = Distance / Speed. For Jack, his walking time would be 24 / x hours, and for Paul, it would be 24 / (7-x) hours. We also know that the combined time they took is 14 hours.
We can set up an equation: 24/x + 24/(7-x) = 14.
Solving this equation will give you x = 5
So, Jack's speed would be 5 kmph (Option C) and Paul's speed will then be 2 kmph.
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