Question

Q.34. Points A and B are 90 km apart on a highway. A car starts from A and another from B at the same
time. If they go in the same direction they meet in 9 hours and if they go in opposite directions they
meet in 9/7 hours. Find their speeds.​

Answer 1

Answer:

40km/h and 30km/h

Step-by-step explanation:

A ................................P..............................B.....................................Q

A to B = 90km

Same direction meeting point = Q

Opposite direction meeting point = P

let x km/hr & y km/hr are the speed of A & B respectively

distance traveled by Car A in 9 hrs = 9⋅x

distance travelled by car B in 9 hrs = 9⋅y

AQ−BQ=AB

9⋅x−9⋅y=90

x−y=10 eqn(1)

in opposite direction

distance travelled by car A in 97 hrs = 97⋅x

distance travelled by car B in 97hrs = 97⋅y

97⋅x+97⋅y=90

x+y=70 eqn (2)

from eqn(1) , (2)

we get, x= 40 km/hr , y= 30 km/hr respectively