two trains leave at the same time from two different stations 284 miles apart, traveling toward each other at 33 mph and 38 mph respectively. how long will it take for them to meet?
33x + 38x = 284
Solve for x.
THIS IS EASY MAN
33X+38X=284 ADD VARIABLES "X"
71X=284 SIMPLIFY
X=284/71 SIMPLE DIVISION
X=4
CHECK YOURS ANSWER. IS THIS CORRECT FOR X? ASK YOURSELF
ORIGINAL EQUATION IS 33X+38X=284
PUT THE VALE OF X=4 IN THE EQUATION
33(4)+38(4)=284
132+152=284
284=284
HENCE PROVED THAT L.H.S= R.H.S
LIFT HAND SIDE = RIGHT HAND SIDE
33x+38x=284
71x=284
71x/71=284/71
x=284/71
x=4
how many ways can you make this equation true 24 x 18 = 432 x
To determine how long it will take for the two trains to meet, we can use the formula: time = distance / speed.
Let's break down the information in the problem statement:
- Distance between the two stations: 284 miles
- Train 1 speed: 33 mph
- Train 2 speed: 38 mph
Since Train 1 and Train 2 are traveling towards each other, their speeds add up. Therefore, the effective speed of the combined trains is 33 + 38 = 71 mph.
Now, we can use the formula to calculate the time:
time = distance / speed
time = 284 miles / 71 mph
Dividing 284 by 71, we find:
time = 4 hours
So, it will take 4 hours for the two trains to meet.