The speed of the helicopter is 85 km / h more than the speed of the car, and the ratio

univerkov | January 12, 2021 | education

The speed of the helicopter is 85 km / h more than the speed of the car, and the ratio of their speeds is 35:18. Determine the speed of the car and helicopter.

1. Let X km / h be the vehicle speed.
It is known that the speed of the helicopter is 85 km / h higher.
Then it is (X + 85) km / h.
2. The speed ratio is 35/18.
(X + 85) / X = 35/18.
We got an equation with one unknown.
We solve by reducing to a common denominator.
(X + 85) * 18 = 35 * X.
X * 18 + 85 * 18 = 35 * X.
17 * 5 * 18 = X * (35 – 18).
X * 17 = 5 * 18 * 17.
X = 80 km / h – vehicle speed.
X + 85 = 90 + 85 = 175 km / h – helicopter.
Answer: Vehicle speed is 80 km / h; helicopter speed – 175 km / h.

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