Lets assume that they are driving at an average of 70mph, and getting gas takes 10 minutes, and stopping to eat takes 30.
t=d/s
t=600/70
t=8.57
Stopping to eat twice is 30 x 2 = 60 (another hour)
and Gas is 10 x 3 = 30 minutes (0.5 hours)
Total time is,
8.57+1+0.5 =10.07
So the trip will take approx 10.7 hours total.
(This is using my assumptions, from my experience!)
Step-by-step explanation:
The ratio of the two shorter legs of the top triangle is
The bottom triangle has the following ratio:
Since their ratios are the same, this means that the two triangles are similar.
S=d/t ⇒d=s*t
s=speed
d=distance
t=time
The first train :
d=x
x=70 miles/h*t ⇒ x=70t (1)
The second train
d=360 miles - x
360 miles - x=80 miles/h*t ⇒360-x=80t ⇒ x=360-80t (2)
therefore, with the equations (1) and (2) we have a systeme of equations:
x=70t
x=360-80t
we can solve this system of equations by equalization method.
70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4 (≈2 hour 24 minutes)
Answer: the first train meet with the second train in 2 hour 24 minutes.
Answer:
15 units.
Step-by-step explanation:
The distance between the points (x1, y1) and (x2, y2) is
√(x1-y1)^2 + (y1-y2)^2))
So here it is:
√(10- -2)^2 + (6- -3)^2)
= √(144+81)
= √225
= 15.
the height is 11.25 because 7×4=28×11.25=315
