Question

Places A and B are 100 km 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 hours. If they travel towards each other,

they meet in 1 hour.

A B

100km

a) Assuming that the speed of first car be u km/hr and second car be

v km/hr respectively. What is the relative speed of both cars while

they are travelling in the same direction?

i) u + v km/hr ii)u - v km/hr iii)u/v km/hr iv)uv km/hr

b) What is the relative speed of both cars while they are travelling

towards each other?

i) u + v km/hr ii)u - v km/hr iii)u/v km/hr iv)uv km/hr

c) What is the actual speed of one car?

i) 60 km/hr ii) 40 km/hr iii) 100 km/hr iv) 20 km/hr

d) What is the actual speed of other car?

i) 60 km/hr ii) 40 km/hr iii) 100 km/hr iv) 20 km/hr

e) The given problem is based on which mathematical concept?

i) Pair of linear equations ii) Quadratic equations

iii) Polynomials iv) None of thes​

Answer 1

Answer:

YOUR ANSWER IS DOWN BELOW

Step-by-step explanation:

Let the speed of car at A be x kmph

and the speed of car at B be y kmph

when the car travel in same direction Relative Speed is x−y

Dist=100km

t=5 hours

∴  Dist =S×T

100=(x−y)5

x−y=20⟶(I)

when car travel in opp direction Relative Speed is x+y

Dist=100km

t=1 hours

Dist=ST

100=(x+y)1

x+y=100⟶(II)

Solving (I) & (II)

x−y=20

$\frac{x+y=100}{2x=120}$

x=60km/h

y=40km/h

Speed of the car at A =60 km/h

Speed of the car at B=40 km/h

The difference of speeds is 60−40=20

PLEASE MARK ME AS BRAINLIEST AND THANK MY ANSWER

THIS IS A KIND REQUEST