The rate of faster train is 144 kilometer per hour and rate of slower train is 122 kilometers per hour.
Step-by-step explanation:
Given,
Total distance = 798 kilometers
Let,
speed of faster train = x
speed of slower train = x-2
Time = 3 hours
Distance = Speed*Time
Distance covered by faster train = 3x
Distance covered by slower train = 3(x-22) = 3x-66
As they both traveled combined distance, therefore,
Dividing both sides by 6
The speed of faster train is 144 km/h
Speed of slower train = x-22 = 144-22 = 122 km/h
The rate of faster train is 144 kilometer per hour and rate of slower train is 122 kilometers per hour.
Keywords: distance, speed
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Answer:
x = -2
Step-by-step explanation:
Add 10 to both sides of the equation
x−10=−12
−10+10=−12+10
Simplify
Solution:
x= -2
SOLUTION:
PQR is a right-angle triangle.
Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.
Pythagoras theorem is as displayed below:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.
c = PQ = 16cm
a = PR = 8cm
b = QR = ?
a^2 + b^2 = c^2
( 8 )^2 + b^2 = ( 16 )^2
64 + b^2 = 256
b^2 = 256 - 64
b^2 = 192
b = square root of ( 192 )
b = 13.8564...
b = 13.86 ( to 2 decimal places )
FINAL ANSWER:
Therefore, the length of QR is 13.86 centimetres to 2 decimal places.
Hope this helps! :)
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