Question

a car start with the speed 60 km per hour from Prayag at 3 p.m. after one hours a second cars start with the speed at 80 km hr on the same track to cross the first car after how many kilometre the second car will be made the first car

Answer 1

Answer:

Given, P, Q, R and S are the mid-points of sides AB, AD, CD, and BC respectively.

Now, join AC, BD, PS, QR, PQ and RS

Since, P is the mid point of AB

So, AP = PB ........1

Since, Q is the mid point of BC

So, QC = QB ........2

Since, R is the mid point of CD

So, CR = RD ........3

Since, S is the mid point of AD

So, AS = SD ........4

Now, divide equation 1 by equation 4, we get

AP/AS = PB/SD

=> AP/PB = AS/SD

=> PS || BD .......5 {converse of Thales Theorem}

Similarly, QR || BD .......6

Again, From equation 5 and 6, we get

PS || QR .......7

Now, divide equation 1 by equation 2, we get

AP/QC = PB/QB

=> AP/PB = QC/QB

=> PQ || AC .......8 {converse of Thales Theorem}

Similarly, SR || AC ....9

From 8 and 9, PQ || SR .....10

From 7 and 10, PS | QR and PQ || SR

Hence, PQRS is a parallelogram

Read more on Brainly.in - https://brainly.in/question/10646284#readmoreGiven, P, Q, R and S are the mid-points of sides AB, AD, CD, and BC respectively.

Now, join AC, BD, PS, QR, PQ and RS

Since, P is the mid point of AB

So, AP = PB ........1

Since, Q is the mid point of BC

So, QC = QB ........2

Since, R is the mid point of CD

So, CR = RD ........3

Since, S is the mid point of AD

So, AS = SD ........4

Now, divide equation 1 by equation 4, we get

AP/AS = PB/SD

=> AP/PB = AS/SD

=> PS || BD .......5 {converse of Thales Theorem}

Similarly, QR || BD .......6

Again, From equation 5 and 6, we get

PS || QR .......7

Now, divide equation 1 by equation 2, we get

AP/QC = PB/QB

=> AP/PB = QC/QB

=> PQ || AC .......8 {converse of Thales Theorem}

Similarly, SR || AC ....9

From 8 and 9, PQ || SR .....10

From 7 and 10, PS | QR and PQ || SR

Hence, PQRS is a parallelogram

Read more on Brainly.in - https://brainly.in/question/10646284#readmore

Step-by-step explanation:

Answer 2

Answer:

It will be 2 hours