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:Both Tom and Jerry will apart 176 miles in 2 hours .Step-by-step explanation:Given as:Tom and Jerry moves in opposite directionThe speed of Tom = 38 mphThe speed of Jerry = 50 mphLet The distance cover by Tom = x mileThe  distance cover by Tom = ( 176 - x ) milesTime taken by both are same = T hour[tex]\textrm(Time) = \dfrac{\textrm(Distance)}{\textrm(Speed)}[/tex]Or, Time taken by Tom T =  [tex]\frac{x}{38}[/tex]     ... 1 ∴ x = 38 T  And Time taken by Jerry [tex]\textrm(T) = \dfrac{\textrm(Distance)}{\textrm(Speed)}[/tex]Or, T =  [tex]\frac{176 - x}{50}[/tex]  So , put the value of T from 1 [tex]\frac{x}{38}[/tex]  =  [tex]\frac{176 - x}{50}[/tex]  Or, 50 × x = ( 176 - x ) × 38 So 50 x + 38 x = 6688Or, 88 x = 6688∴   x = [tex]\frac{6688}{88}[/tex] = 76 mile So, From, eq 1 T =  [tex]\frac{x}{38}[/tex] or, T =  [tex]\frac{76}{38}[/tex]  = 2 hours Hence both Tom and Jerry will apart 176 miles in 2 hours . Answer