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Popular Word Problems >

raindrop falls at a rate of 4/50 mile in 1/20 hour. At this rate, how far will the raindrop travel in 1 hour?

Solution

r ain d ro p f a ll s a t a r a t e o f 4/50 mi l e in 1/20 h o u r . A t t hi s r a t e, h o w f a r w i ll t h e r ain d ro p t r a v e l in 1 h o u r ?

Solution

trip 2 distance : 1.6

Solution steps

Given Time:

trip 1 : \frac{1}{20}

trip 2 : 1

Given Distance:

trip 1 : \frac{4}{50}

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time \frac{1}{20} Distance \frac{4}{50}

Write an equation for trip 1Distance = Speed

\cdot

Time

\frac{4}{50} = x \frac{1}{20}

Solve for

x, \frac{4}{50} = x \cdot \frac{1}{20} : x = \frac{8}{5}

speed : \frac{8}{5}

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed \frac{8}{5} Time 1 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = \frac{8}{5} \cdot 1

Solve for

y, y = \frac{8}{5} \cdot 1 : y = \frac{8}{5}

\frac{8}{5} = 1.6

trip 2 distance : 1.6

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