Two joggers set out at the same time from their homes 21 miles apart. They agree to meet at a point somewhere in
between in an hour and a half. If the rate of one is 2 mph faster than the rate of the other, find the rate of each

Respuesta :

The two joggers who are 21 miles apart travel at a speed 8 mph and 6 mph respectively and would meet after one and half hours.

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let a represent the speed of the faster jogger and represent the speed of the other jogger. Hence:

a = b + 2 (1)

Also:

In one and half hour (1.5 h):

a = d₁/1.5

d₁ = 1.5a

b = d₂/1.5

d₂ = 1.5b

d₁+ d₂ = 21

1.5a + 1.5b = 21   (2)

From both equation 1 and 2:

a = 8, b = 6

The speed of the joggers is 8 mph and 6 mph respectively.

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