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

Answer:

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

Step-by-step 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

$\textrm(Time) = \dfrac{\textrm(Distance)}{\textrm(Speed)}$

Or, Time taken by Tom

T =  $\frac{x}{38}$     ... 1

∴ x = 38 T  

And Time taken by Jerry

 $\textrm(T) = \dfrac{\textrm(Distance)}{\textrm(Speed)}$

Or, T =  $\frac{176 - x}{50}$  

So , put the value of T from 1

$\frac{x}{38}$  =  $\frac{176 - x}{50}$  

Or, 50 × x = ( 176 - x ) × 38

So 50 x + 38 x = 6688

Or, 88 x = 6688

∴   x = $\frac{6688}{88}$ = 76 mile

So, From, eq 1

T =  $\frac{x}{38}$

or, T =  $\frac{76}{38}$  = 2 hours

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