Question

Two persons 27 kilometres apart, starting at the same time are together in 9 hours if they walk in the same direction, but 3 hours if they walk in the opposite directions. find out the rate of walking of each?​

Answer 1

Answer:

a = 6 km/h r,  (Rate of first person)

b = 3 km/h r,  (Rate of second person)

Step-by-step explanation:

According to the information provided in the question it is given as

For solving this we make a simple equation as per data given

 9(a - b) = 27(walking the same direction)

3(a + b) = 27(walking in opposite directions)

simplifying the equation we get

a - b= 3

a + b= 9

Hence

2a = 12

a = 12/2

a = 6 km/h r,  (Rate of first person)

Next

6 + b = 9

b = 3 km/h r,  (Rate of second person)

Answer 2

Answer:

if they move in the same direction then Relative speed = x-y. if they move in opposite direction their Relative speed = x+y. Hence their speed is 6 and 3 km/hr

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