Question

The average of their maximum speeds was 260 km/h. If doubled Malcolm’s maximum speed would be 80 km/h more than Ravi’s maximum speed. What were Malcolm’s and Ravi’s maximum speeds?

Answer 1

Answer:

Malcolm’s maximum speed is 200 km/h and and Ravi’s maximum speeds is 320 km/h.

Step-by-step explanation:

Let x and y are the maximum speeds ( in  km / h ) of Malcolm and Ravi respectively,

Then according to the question,

$\frac{x+y}{2}=260$

$\implies x + y = 520-----(1)$

Again according to the question,

$2x = y + 80$

$\implies 2x - y = 80----(2)$

Equation (1) + equation (2),

3x = 600

⇒ x = $\frac{600}{3}$ = 200,

From equation (1),

200 + y = 520

⇒ y = 520 - 200 = 320

Hence,  Malcolm’s and Ravi’s maximum speeds are 200 km/h and 320 km/h respectively.