Question

Tom and Jerry leave from the same place in opposite directions. Tom drives 38mph. Jerry drives 50mph. In how many hours are they 176 miles apart? please answer!

Answer 1

Both Tom and Jerry will apart 176 miles in 2 hours .

Explanation:

Given as:

Tom and Jerry moves in opposite direction

The speed of Tom = 38 mph

The speed of Jerry = 50 mph

Let The distance cover by Tom = x mile

The distance cover by Tom = ( 176 - x ) miles

Time taken by both are same = T hour

`\textrm(Time) = (\textrm(Distance))/(\textrm(Speed))`

Or, Time taken by Tom

T =
`(x)/(38)` ... 1

∴ x = 38 T

And Time taken by Jerry

`\textrm(T) = (\textrm(Distance))/(\textrm(Speed))`

Or, T =
`(176 - x)/(50)`

So , put the value of T from 1

`(x)/(38)` =
`(176 - x)/(50)`

Or, 50 × x = ( 176 - x ) × 38

So 50 x + 38 x = 6688

Or, 88 x = 6688

∴ x =
`(6688)/(88)` = 76 mile

So, From, eq 1

T =
`(x)/(38)`

or, T =
`(76)/(38)` = 2 hours

Hence both Tom and Jerry will apart 176 miles in 2 hours . Answer