Alice is faster than Bob, Alice and Bom each walk 30 km. The sum of their speeds is 8 km/hr and sum of time taken by them is 16 hours. Then Alice’s speed is equal to

5

Let Alice speed = x km/h

Bob’s speed = 8 – x km/h

According to question

$\frac{30}{x}+\frac{30}{(8-x)}=16$

$30(8 – x) + 30x = 16x(8 – x)$

$240 – 30x + 30x = 128x – 16x^2$

$16x^2 – 128x + 240 = 0$

$x^2 – 8x + 15 = 0$

$(x – 5) (x – 3)$

$x = 3$ and $x = 5$