Question

on a
2. Points A and B are 70 km apart from each others
highway. A.com starts from n and another
from B at the Sange time. they toravel in same
direction they meet in 7 hours, but if they
təravel towards each other, they meet in 1 hour.
Find the speed of the two cars...​

Answer 1

Step-by-step explanation:

When they travel in same direction, suppose

they meet when B travels for x m, then A will have travelled 70+x

m in the same time

Since, Speed =

Time

Distance

Speed of car at A =

7

x+70

And Speed of car at B =

7

x

And when they travel in the opposite direction, suppose they meet when A

travels for y m, then B will have travelled 70−y m in the same

time

Speed of car at A =

1

y

=y

And Speed of car at B =

1

70−y

=70−y

Equating the speeds of the cars in both the cases,

Speed of car at A,

7

x+70

=y

x+70=7y

=>x−7y=−70 --- (1)

Speed of car at B,

7

x

=70−y

=>x+7y=490 --- (2)

Adding equations 1 and 2, we get 2x=420=>x=210

So, Speed of car at A =

7

x+70

=

7

280

=40km/hr

Speed of car at B =

7

x

=

7

210

=30km/hr