Question
Two individuals, A and B, are walking. Person A takes 1
hour longer than person B to cover a distance of 84 km. However, if person A doubles their speed, they take 2 hours and 30 minutes less than person B to cover the same distance. Find the original speed of person B (in km/h).Solution
Let speed of A and B be ‘x’ km/h and ‘y’ km/h respectively.
According to question;
84/x – 84/y = 1…………………..(1)
And, 84/y – 84/2x = 5/2…………………(2)
From equation (1) and (2) we get
84/x – 1 – 84/2x = 5/2
42/x = 5/2 + 1 = 7/2
x = 12
So, y = 14 km/h
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