Question

•Chapter:Linear Equations:-

(i)The length of a rectangle plot is 4 times its breadth.If the length is decreased by 18 m and the breadth is increased by 18 cm,then it becomes a square.Find the length and breadth of the rectangle.
(ii)A car travelling at 40 km per hour left kolkata for Durgapur at 6 a.m. Another car left Kolkata for Durgapur at 7 a.m. and overtook the first car at 11 a.m. Find the speed of the second car.​

Answer 1

Answer:

1)l= 48

 b= 12

2)speedof car b = 50 km/h

Step-by-step explanation:

1)l=4b

  from that b = l/4

 If the length is decreased by 18 m and the breadth is increased by 18 m

l-18=b+18                            b=l/4

l-18= l/4+18

 l-l/4=18+18

taking lcm on lhs

(4l-l)/4=36

3l=36*4

3l=144

l=144/3

l  =48

b= l/4

 =48/4

 =12

2)speed of car a= 40km/h

speed of car b =?

speed of car b is greater than car a

the time at which car a got overtook = 11 am

so car a had travelled for 5 hours

in 5 hours distance travelled =speed*time

=40*5

=200km

car b has travel the same distance in 4 hours (7am to 11 am)

speed = distance/time

=200/4

= 50km/h

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