Mathematics, 26.07.2021 18:40, 1846252

On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.

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answered: Livi9666

The total distance traveled in two days would be 380 miles.

Let's see how we calculate the distance.

Distance is calculated by multiplying speed with time. So,D = S * TS = D ÷ T

Given that,

Speed on first day = 40 mph

Since,

Speed = Distance/Time

∵ 40 = $d_{1}$ / $T_{1}$ ...(i)

Speed on the second day = 60 mph

Distance traveled = $d_{1}$ - 20

Time taken = $T_{1}$ - 2

Since,

Speed = Distance/Time

∵ 60 = ( $d_{1}$ - 20)/ ( $T_{1}$ - 2) ...(ii)

As we know,

Total distance = $d_{1} + d_{2}$

= $d_{1}$ + $(d_{1} - 20)$

= 2 $d_{1}$ - 20 ...(iii)

From (i), we can deduce that,

$d_{1}$ = 40 $T_{1}$

$T_{1}$ = $d_{1}$ /40

Now, by putting the values of $d_{1}$ and $T_{1}$ in equation (ii), we get

60 = ( $d_{1}$ - 20)/ ( $T_{1}$ - 2)

⇒ $d_{1}$ - 20 = 60( $T_{1}$ - 2)

⇒ $d_{1}$ - 20 = 60 $T_{1}$ - 120

⇒ $d_{1}$ - 20 = 60 * (

⇒ $d_{1}$ = 3

⇒ $d_{1}$ - 3

⇒ - $d_{1}$ /2 = -100

∵ $d_{1}$ = 200

By substituting the value of $d_{1}$ in equation (iii),

Total distance = 2 $d_{1}$ - 20

= 2(200) - 20

= 400 - 20

= 380 miles

Learn more about 'speed and distance' here:

answered: Guest

Not sure what the question is?

answered: Guest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the...