Answer: rate of train A = 120 km/h
rate of train B = 101 km/h
Step-by-step explanation:
Let x = the speed of train A
Let y = the speed of train B
One train travels 19 km/h slower than the other. Let train B be the slower train. Therefore,
x = y + 19 - - - - - - - - - -1
Recall
Speed = distance/time
Distance = speed × time
If they meet in 3 hours, it means that train A has travelled a distance of
x × 3 = 3x km
And train B has travelled a distance of y × 3 = 3y km
Train A and Train B were 663 kilometers apart when they left their respective destinations. They left at the same time and travelled towards each other. This means that if they meet in 3hours time, they must have covered a total of 663 km. Therefore,
3x + 3y = 663 - - - - - - - - - 2
Substituting x = y + 19 into equation 2, it becomes
3(y + 19) + 3y = 663
3y + 57 + 3y = 663
6y + 57 = 663
6y = 663 - 57 = 606
y = 606/6 = 101 km/h
x = y + 19 = 101 + 19
x = 120 km/h
The value of X is 6
reduce the numbers 6x2/3x=24
calculate the product 2x2x=24
divide both sides by 4 4x=24
x=6
The sqft for an area that is 12 by 25 is 300.
2.60 x 300 = 780
It would cost $780.00.
Hope it helps!
Elise will have enough gas to get to her sisters house and back. she will have 437 miles of gas before she goes.
Answer:
Step-by-step explanation:
The ratio of copies printed is ...
X : Y = 1 : 2
so the ratio of the number printed by machine X to the total is ...
X : (X+Y) = 1 : (1+2) = 1 : 3
1/3 of the 159 copies were printed by machine X, so it printed ...
(159)(1/3) = 53
Twice that many were printed by machine Y, so it printed ...
2·53 = 106
Machine X printed 53 copies; machine Y printed 106 copies.