Question

A and b are 15 kms apart and when travelling towards each other meet after half an hour whereas they meet two and a half hours later if they travel in the same direction. the faster of the two travels at the speed of+cgl

Answer 1

let the faster speed be x km/he and slower one b y km/hr
ATQ
15= (x+y)*0.5 and 15=(x-y)*2.5
x+y=30 and x-y=6
x=18 y= 12

Answer 2

Heya.... I think this can be ur answer dear!!

Let speed of A be xkm/h and B be ykm/h....

Travelling in same direction,
Distance covered by A= 2.5x km (speed *time)

Distance covered by B =2.5y km

Now distance covered by A can be = 2.5+15 (they are 15km apart)

Distance covered by A =distance covered by A
2.5x=2.5y+15
x - y =6.... (1)

Travelling towards each other,

Distance covered by A + distance covered by B =15

SO, (speed *time) x*1 + y*1 = 15.... (2)

Now adding (1) & (2),
x-y + x+y = 6+15
2x = 21
x=10.5 km /h
y= 6+x =6+10.5 =16.5km/h