Question

Question #2a9fb

Answer 1

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

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 `(15 xx 5)/ ( 15 xx 3)` This results in a ratio of

5:3 There are eight total parts in this ratio

`5 xx x + 3 xx x` = total this gives

`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

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

`=> d=120t`

`=>t=d/120`

Explanation:

A quick sketch is usually helpful in understanding the question.

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

known: distance = velocity `xx` time

Distance traveled by Temie = `45t`
Distance traveled by Yosief =`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.

`=> 45t+75t=d`

`=> d=120t`

`=>t=d/120`

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