Answer:
speed of motorcycle = 40 mph
speed of car = 50 mph
Step-by-step explanation:
Here is the complete question
A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.
Speed = distance / time
This question would be solved using simultaneous equation
let m = average speed of the motorcycle
c = average speed of the car
c = 2m - 30 equation 1
20 =(c - m) x 2 equation 2
insert equation 1 into equation 2 and divide through by 2
10 = (2m - 30) - m
solve for m
m = 40 mph
substitute for m in equation 1
2(40) - 20 = 50 mph
Divide the number of people by the number of plates per pack:
138 / 12 = 11.5
He need to buy 12 packs of plates to have enough.
Answer:
the greatest common factor of 75 and 40 is 5
9514 1404 393
Answer:
20.25 mm
Step-by-step explanation:
Arc length is given by the relation ...
s = rθ
where r is the radius and θ is the central angle in radians.
There are π radians in 180°, so the arc length is ...
s = (5 mm)(232°×π/180°) = 20.25 mm
The arc length is about 20.25 mm.