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

Question

2 years ago

9

20 mi/h faster than the freight train, find the speed of each train.

1 answer:

Yuri [45] · Answer 1 · 2022-07-05T05:38:34+03:00

Yuri [45]2 years ago

6 0

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 $x+20=112\ mph$