Question

A passenger train travels 392 mi in the same time that it takes a freight train to travel 322 mi. If the passenger train travels 20 mi/h faster than the freight train, find the speed of each train.

Answer 1

Answer:

Explanation:

Given

distance traveled by  Passenger train is $d_1=392\ mi$

distance traveled by  Freight train is $d_2=322\ mi$

Both take same time to travel

suppose speed of freight train is x mph

so speed of passenger train is 20+x mph

we know time$=\frac{distance}{speed}$

$t=\frac{392}{20+x}=\frac{322}{x}$

$392x=322x+322\times 20$

$70x=322\times 20$

$x=92\ mph$

speed of passenger train $x+20=112\ mph$