Two cars A and B start simultaneously from a certain place

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Two cars A and B start simultaneously from a certain place at the speed of 30 km/h and 45 km/h, respectively.The car B reaches the destination 2 h earlier than A. What is the distance between the starting point and destination?

1. 90 km
2. 180 km
3. 270 km
4. 360 km

Correct Option: B

Let the time taken by car B to reach destination is T h.
So, the time taken by car A to reach destination is (T + 2) h.
Now, S₁T₁ = S₂T₂
⇒ 30(T + 2) = 45 x T
⇒ 30T + 60 = 45T
⇒ 15T = 60
∴ T = 4 h

Now, distance between starting point and destination = S₂T₂
= 45 x 4 = 180 km