Question

Two cars start at the same time from A and B which are 120 km apart. If they travelled in the same direction,
they meet in 6 hours but if they move towards each other they meet in 1 hour. Find their speeds.

Answer 1

Answer:

35 km/h & 25 km/hr

Let the speed of car starting from point A=x km/hr

The speed of car starting from point B=y km/hr

According to the first condition :The two cars travel in same direction-

speed⇒(x−y)

hr

km

∵speed=

time

distance

⇒x−y=

8

80

⇒x−y=10....eq1

According to the second condition :The two cars travel in opposite direction-

∵speed=

time

distance

⇒x+y=

3

4

80

⇒x+y=60....eq2

Adding eq1 and eq2

⇒2x=70⇒x=35

put x=35 in eq1

⇒35−y=60⇒y=25

Hence, the speed of car starting from point A=35km/hr

The speed of car starting from point B=25 km/hr