Question

Ramiro was on a 2-day road trip. On the first day he drive at an average speed 40 mph. On the second day he drove at an average speed of 60 mph. If he drove 2 hours. If he drove 2 hours longer and went 20 miles farther on the first day, find the total distance Ramiro traveled on his first road trip

Answer 1

X = first day hours
Y = second day hours

x = y + 2
40x = 60y + 20

40(y + 2) = 60y + 20
40y + 80 = 60y + 20
60 = 20y
y = 3 hours on day 2

x = y + 2
x = 3 + 2
x = 5 hours on day 1

Miles = 40(5) + 60(3)
200 + 180
380 miles

Answer 2

The total distance Ramiro travelled is 380 miles.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

let x be the first day hours

let y be the second day hours.

now,

x = y + 2

40x = 60y + 20

Putting x= y+2

40(y + 2) = 60y + 20

40y + 80 = 60y + 20

60 = 20y

y = 3 hours

For, first day

x = y + 2

x = 3 + 2

x = 5 hours

Thus,

Total distance = 40(5) + 60(3)

=200 + 180

=380 miles

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