Question

Two cars start from city A and B towards each other. Distance between city A and B is 490 Km . The speed of car A is 60 km/h and B is 80 km / h. They cross to each other city C, which is somewhere in between city A and B. What is the distance between city A and C?

Answer 1

Question :-- Two cars start from city A and B towards each other. Distance between city A and B is 490 Km . The speed of car A is 60 km/h and B is 80 km / h. They cross to each other city C, which is somewhere in between city A and B. What is the distance between city A and C ?

Solution :--

→ Speed of car starts from A = 60km/h

→ Speed of car starts from B = 80km/h .

→ Total Distance b/w A to B is = 490km .

Since, both are travelling towards each other , ( Means opposite direction ).

So, Speed of both will add.

→ Usual speed = (60+80) = 140km/h .

Now, it is given that, they meet at Point C .

So,

→ Time to reach C at 140km/h speed is = Distance/Speed = 490/140 = (7/2) Hours.

We can say that, both the train travel for (7/2) hours before meeting at C.

So,

→ Distance cover by Train A in this time = Speed * Time

or,

→ Distance from A to C = 60 * (7/2) = 210km .

Hence, Distance between city A and C is 210km.

Answer 2

Answer:

${\boxed{\bold\red{Distance\:between\:A\:to\:C = 210\:km}}}$

Given:-

• Speed of car A = 60 km/h
• Speed of car B = 80 km/h
• Distance between city A to B = 490 km
• Distance between city A to C = ?

We know that,

$\bullet$ ${\boxed{\bold\green{Time =\dfrac{Distance}{Time} }}}$

$\rule{300}{1}$

Car A and car B are coming to each other as they meet between city A and city B named as city C.

→ Total speed = (60+80) km/h

→ Total speed = 140 km/h.

So, to meet between A and B total time taken:-

$\sf Time = \dfrac{Distance}{Speed}$

→ $\sf Time = \dfrac{\cancel{490\:km}}{\cancel{140\:km}/h}$

→ ${\boxed{\sf {Time = \dfrac{7}{2}\:h}}}$

Now between city A to city C,

Speed of car A = 60 km/h

$\sf Distance = Speed \times Time$

→ $\sf Distance =(\cancel{60} \times \dfrac{7}{\cancel{2}} )\:km$

→ ${\boxed{\sf{Distance = 210\:km}}}$

$\therefore\sf Distance\:between\:city\:A\:and\:C = 210\:km$