Question

The distance between two stations is 300 km. Two motoryclists starts
these stations and move towards each other. The speed of one of them
that of the other. If the distance between them after 2 hours of their star
speed of each motorcyclist. Check your solution.



Only tell me the checking method. ​

Answer 1

Answer:

Hey Happy rakshabandhan bro ☺️

Answer 2

Answer:

Distance between both stations= 300 km

Speed of 1st motorist= x

Speed of 2nd motorist= x+20

Distance covered by 1st motorist after 2 hours

= 2x (distance= time×speed)

Distance covered by 2nd motorist

= 2(x+20) (distance= time×speed)

= 2x+40

Distance between both bikes after 2 hours

= 20 km

So now if we add all the three distances, our sum will be 300.

⇒ 2x+(2x+40)+20= 300

4x+60=300

4x= 300-60

4x= 240

x= 240/4

x= 60

Speed of 1st motorist= 60 km/h

Speed of 2nd motorist= 80 km/h (x+20)

Distance travelled by 1st motorist

= 2(60)

= 120 km

Distance travelled by 2nd motorist

= 2(80)

= 160 km

VERIFY:

To verify, we will first read the question again. It says that after 2 hours, the distance left between the two motorists is only 20 km. So, equation formed:

20= 300-(distance₁+distance₂)

20= 300-(120+160)

20= 300-280

20=20

LHS=RHS

Hence, verified

NOTE:-

distance₁= distance travelled by first motorist

distance₂= distance travelled by second motorist

Hope it helps

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