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شائع Word Problems >

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?

الحلّ

A t r ain t r a v e l s 296 mi l es in 3.5 h o u rs a t a co n s t an t r a t e o f s p ee d . Ho w f a r c an i t t r a v e l in 6 h o u rs a t t h e s am e s p ee d ?

الحلّ

trip 2 distance : 507.42857 \dots

خطوات الحلّ

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

296 = x \cdot 3.5, x

حلّ لـ:

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

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

حلّ لـ:

y = \frac{3552}{7}

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

trip 2 distance : 507.42857 \dots

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