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A train travels 296 miles in 3.5 hours at a constant rate of speed. How far can it travel in 6 hours at the same speed?

Solution

A train travels 296 miles in 3.5 hours at a constant rate of speed. How far can it travel in 6 hours at the same speed?

Solution

trip 2 distance : 507.42857 \dots

Solution steps

Given Time:

trip 1 : 3.5

trip 2 : 6

Given Distance:

trip 1 : 296

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 3.5 Distance 296

Write an equation for trip 1Distance = Speed

\cdot

Time

296 = x \cdot 3.5

Solve for

x, 296 = x \cdot 3.5 : x = \frac{592}{7}

speed : \frac{592}{7}

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed \frac{592}{7} Time 6 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = \frac{592}{7} \cdot 6

Solve for

y, y = \frac{592}{7} \cdot 6 : y = \frac{3552}{7}

\frac{3552}{7} = 507.42857 \dots

trip 2 distance : 507.42857 \dots

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