Anuel traveled 4 hours nonstop to mexico, a total of 204 miles. he took a train part of the way, which averaged 60mph, and then took a bus the remaining distance, which averaged 40mph. how long was manuel on the train?

Let x be the total number of hours spent on the train

Let y be the total number of hours spent on the bus

Total hours spent on train and bus = x + y

Given that he travelled 4 hours

⇒ x + y = 4

Distance travelled = Time x Speed

Distance travelled on train = 60x miles

Distance travelled on Bus = 40y miles

Given that he travelled 204 miles

⇒ 60x + 40y = 204

The 2 equations formed are:

x + y = 4 ( 1 )

60x + 40y = 204 ( 2 )

Solve for x and y:

From (1) :

x + y = 4

⇒ x = 4 - y Sub into (2)

60 (4 - y) + 40y = 204

240 - 60y + 40y = 204

240 - 20y = 204

20y = 240 - 204

20y = 36

y = 1.8

x = 4 - y

x = 4 - 1.8

x = 2.2

Total time travelled on the train = x = 2.2 hours

Total time travelled on the bus = y = 1.8 hours

He was on the train for 2.2 hours

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it