Question

Places A and B are 100 kilometres apart on a highway.One car starts from A and another from B at the same time.If the cars travel in the same direction at different speeds ,they meet in 5 hrs , if they travel towards each other , they meet in 1 hr . What are the speeds of the 2 cars

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$\bold{\sf{SPEED\:OF\:CAR\:A=60\:km/h}}$

$\bold{\sf{SPEED\:OF\:CAR\:B=40\:km/h}}$

Step-by-step explanation:

$\huge{\underline{\sf{SOLUTION-}}}$

• Let the speed of Car A = X km/h

• Speed of Car B = Y km/h

• If the car's travel in the same direction:

• Relative speed = (X-Y)km/h

$\implies d = s \times t \\\\ \implies 100 = (x - y) \times 5 \\\\ \implies \frac{100}{5} = x - y \\ \\ \implies x - y = 20 - - - - - (1)$

• If the cars travels towards each other

• Relative speed = (X+Y)km/h

$\implies 100 = x + y \times 1 \\ \\ \implies x + y = 100 - - - - - (2)$

• Subtracting (1) from (2):

$\implies x + y - (x - y) = 100 - 20 \\ \\ \implies x + y - x + y = 80 \\\\ \implies 2y = 80 \\\\ \implies y = \frac{80}{2} \\ \\ { \bold{ \therefore y = 40}} \\ \\ \bold{putting \: value \: of \: y \: in \: (1)} \\ \\\implies x - y = 20 \\ \\ \implies x - 40 = 20 \\\\ \implies x = 20 + 40 \\\\ \bold{ \therefore x= 60}$