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?
Answer & explanation
Correct answer: option 1
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