Question

Places A and B are 100 km apart on a straight highway. Two car starts from A and B respectively. If they move in the same direction then they meet in 6 hours. Express this information in the from of linear equation in two variables and also draw its graph.​

Answer 1

Answer:

Let the speed of car at A be x kmph

and the speed of car at B be y kmph

when the car travel in same direction Relative Speed is x−y

Dist=100km

t=5 hours

∴ Dist =S×T

100=(x−y)5

x−y=20⟶(I)

when car travel in opp direction Relative Speed is x+y

Dist=100km

t=1 hours

Dist=ST

100=(x+y)1

x+y=100⟶(II)

Solving (I) & (II)

x−y=20

$\frac{x + y = 100}{2x = 120}$

x = 60km/h

y = 40km/h

Speed of the car at A =60 km/h

Speed of the car at B=40 km/h

The difference of speeds is 60−40=20