twice as old as my daughter. Find my present age and
The distance between two cities, A and B, is 70 km. Two cars start moving from
A and B respectively. If they move in the same direction, they will meet in 7 hours
and if they move towards each other they will meet in 1 hour. Find the speeds of
both the cars.
chool When 10 students
Answers
Answer:
केडजढेइसगद्बफ फेःर्ःर्र्हेई
Step-by-step explanation:
Sorry
Correct Question :-
The distance between two cities, A and B, is 70 km. Two cars start moving from A and B respectively. If they move in the same direction, they will meet in 7 hours and if they move towards each other they will meet in 1 hour. Find the speed of
both the cars.
Given data :-
- The distance between two cities, A and B, is 70 km.
- Two cars start moving from A and B respectively.
Case 1 :- if they move in the same direction, they will meet in 7 hours.
Case 2 :- if they move towards each other they will meet in 1 hour.
Solution :-
{Formula : → speed = distance/time}
Let, speed of first car be x km/hr from city A and speed of second car be y km/hr from city B
Now, from case 1 :-
if they move in the same direction, they will meet in 7 hours.
Hence relative speed of first car and second car :
→ speed = distance/time
→ ( x - y ) = 70/7 {from given}
→ 7 ( x - y ) = 70
Divide both side by 7, we get
→ x - y = 10
→ x = 10 + y .....( 1 )
Now, from case 2 :-
if they move towards each other they will meet in 1 hour.
Hence relative speed of first car and second car :
→ speed = distance/time
→ ( x + y ) = 70/1 {from given}
→ ( x + y ) = 70 .....( 2 )
from eq. ( 1 ) put value of x in eq. ( 2 )
→ 10 + y + y = 70
→ 2y = 70 - 10
→ 2y = 60
→ y = 60/2
→ y = 30 {30 km/hr}
Put value of y in eq. ( 1 )
→ x = 10 + y
→ x = 10 + 30
→ x = 40 {40 km/hr}
Hence, speed of first car is 40 km/hr and speed of second car is 30 km/hr.