A man travels from Point P to Q with 90 km/hr and from Q to R with 60 km/hr. Total distance between P to R is 200 km. If his average speed is 75 km/hr then find the distance between P and Q?

Let distance between P to Q and Q to R be ’x’ and ’y’ respectively.

ATQ,

$75 = frac{{200}}{{frac{x}{{90}} + frac{y}{{60}}}}$

60x+90????=200×90×60× $frac{1}{{75}}$

2x+3????=480

And x+????=200

⇒x=120???????? ???????????? ????=80????????