The speed of the cycle is 40 miles per hour.
The speed of the car is 50 miles per hour.
Explanation:
The given data about the cycle :
Let, the unknown speed of cycle be 'x'.
- The speed of the cycle (rate) = x mph
- The time it traveled = 2 hrs
- The distance covered by cycle in 2 hours = 2x miles
The given data about the car :
The average speed of the car is 30 mph slower than twice the speed of the motorcycle.
- The speed of the car (rate) = 2x-30 mph
- The time it traveled = 2 hrs
- The distance covered by the car in 2 hours = 2(2x-30) = 4x-60 miles
To find the speed of both the car and the motorcycle :
In two hours, the car is 20 miles ahead of the motorcycle.
Therefore, car distance - cycle distance = 20 miles
(4x-60) - 2x = 20
2x = 20+60
2x = 80
x = 80/2
x = 40 mph
The cycle speed is 40 miles per hour.
The car speed is 2x-30 = 50 miles per hour.