Question #2a9fb

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Question #2a9fb

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Answer 1 · 2016-10-04T12:21:24

If the distance between $S$ $S$ and $P$ $P$ is $d$ $d$ miles
then
$XXX$ $color(white)("XXX")$ they will meet at $8 : 00 + \frac{d}{120}$ $8:00 + d/120$ (AM)
$XXX$ $color(white)("XXX")$ at a distance of $\frac{5}{8} d$ $5/8 d$ miles from $S$ $S$

Explanation:

As noted by Shwetank this question is incomplete.

However, my experience is that it would remain as an unanswered question if left as is.

Answer 2 · 2016-10-05T14:14:42

The two will meet at point that 3/5 of the distance from city S
The time is indeterminate because the distance between city P and City S is not known therefore the time is not know either.

Explanation:

75/45 can be reduced to $\frac{15 \times 5}{15 \times 3}$ $(15 xx 5)/ ( 15 xx 3)$ This results in a ratio of

5:3 There are eight total parts in this ratio

$5 \times x + 3 \times x$ $5 xx x + 3 xx x$ = total this gives

$8 x$ $8x$ = total

Yosief will cover 5/8th of the distance and his uncle 3/8th

This means that they will meet at distance that is 3/8th of the distance from city S.

Not knowing the distance between the two cities is not possible to find the time it will take.

Answer 3 · 2016-10-06T09:27:44

$Assumption: The intended solution was meant to just be algebraic equations$ $color(red)("Assumption: The intended solution was meant to just be algebraic equations")$

$\Rightarrow d = 120 t$ $=> d=120t$

$\Rightarrow t = \frac{d}{120}$ $=>t=d/120$

Explanation:

A quick sketch is usually helpful in understanding the question.

Tony B

Let time be $t$ $t$
Let the distance between cities be $d \leftarrow$ $d" "larr$ (value not given)

known: distance = velocity $\times$ $xx$ time

Distance traveled by Temie = $45 t$ $45t$
Distance traveled by Yosief = $75 t$ $75t$

The both meet at some point so the sum of the distance traveled by each must be the same as the distance between cities.

$\Rightarrow 45 t + 75 t = d$ $=> 45t+75t=d$

$\Rightarrow d = 120 t$ $=> d=120t$

$\Rightarrow t = \frac{d}{120}$ $=>t=d/120$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$To solve for two unknowns we need two different$ $color(red)("To solve for two unknowns we need two different")$ $equations that relate both unknowns. We only have 1$ $color(red)("equations that relate both unknowns. We only have 1")$ $equation so this question may have some information missing$ $color(red)("equation so this question may have some information missing")$

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Question #2a9fb

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