Two places A and B are 70 km apart. A car starts from A and another car starts from B at the same time. If they move in the same direction they meet in 7 hours and if they move towards each other, they meet in $2\frac{1}{3}$ hours. What are the speeds of the cars?

20 km/h, 10 km/h

Let car speed from point A=xkm/hr.

and car speed from point B=ykm/hr.

Distance = speed × time

∴ Distance from A=x×7=7x

Distance from B=y×7=7y

If they travel in the same direction, they meet in 7 hours. Point A and B are 70km apart.

⇒7x−7y=70

⇒x−y=10 ...(i)

If they travel towards each other they meet in one hour. Point A and B are 70km apart.

x+y=70 ...(ii)

From equation i and ii

X = 40 km/h

And y = 30km/h