Question

Two cars that are 600km apart are moving towards each other. Their speeds differ by 6km per hour and the cars are 123km apart after 4.5 hours. Find the speed of each car

Answer 1

Answer:
`56\ kmph,\quad 50\ kmph`

Explanation:

Given

Two cars are 600 km apart moving towards each other

Difference in their speed is 6 kmph

After 4.5 hr, they are 123 km apart that is, they covered a distance of
`600-123=477\ km` in 4.5 hours

Suppose their speeds is
`v_1\ \text{and}\ v_2`

`\therefore v_1-v_2=6\quad \ldots(i)`

Also, distance traveled is given by

`\Rightarrow 477=[v_1+v_2]4.5\\\Rightarrow v_1+v_2=106\quad \ldots(ii)`

Solve, (i) and (ii) , we get
`v_1=56\ kmph\ \text{and}\ v_2=50\ kmph`