3x+50=6x-10
subtract 3x
50=3x-10
add 10
60=3x
divide by 3
20=x
Answer: 18mph
Step-by-step explanation:
Given data
total distance driven = 396 miles
time driven = 8 am Tuesday to 5 pm Wednesday
total time driven in hours = 33 hours
lunch break time = 30 min Tuesday + 30 min Wednesday
= 60 min
= 1 hour
sleep time = 7 pm Tuesday to 5 am Wednesday
= 10 hours
solution:
To find the average speed,
we are given total time driven = 33hrs.
lunch + rest time = 10hrs + 1hr
= 11hrs
total time travelled =drive time - rest + lunch time
= 33 - 11
= 22hrs
therefore;
average speed = distance / time traveled.
average speed = 396 / 22
average speed = 18 mph
Answer: 52.94
Step-by-step explanation:
Length of train A = 480m
Tunnel length = 1320m
Time taken to cross tunnel = 2 mins = 120sec
Length of train B = 420m
Train B is slower than train A
Difference between their speed = 18km/hr
18km/hr = (18×1000)/3600 = 5m/s
Speed of train A :
Speed = distance / time
Speed = 1320 / 120 = 11m/s
Therefore, speed of train B :
(11 - 5)m/s = 6m/s
Relative speed of the two trains is therefore;
(Speed of A + speed of B)
Note : they are moving in opposite direction
( 11 + 6)m/s = 17m/s
Therefore time taken to cross each other :
(Sum of the length of both trains / relative speed of the trains)
Time taken = (480m + 420m) / (17m/s)
Time taken = 900m / 17m/s
Time taken = 52.94s
Answer:
64√2 or 64 StartRoot 2 EndRoot
Step-by-step explanation:
A 45-45-90 traingle is a special traingle. Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem. Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2. 2(x)^2=c^2. You then square root both sides and get c= x√2.
Therefore, the two legs are x and the hypotenuse is x√2. x√2=128 because the question says that the hypotenuse is 128. Solve for x by dividing both sides by √2. X=128/√2. You rationalize it by multiplying the numberator and denominator of the fraction by √2. √2*√2= 2.
X=(128√2)/2= 64√2 cm.
Since X is the leg, the answer would be 64√2
