# GATE | GATE CS 2019 | Question 5

Two cars at the same time from the same location and go in the same direction. The speed of the first car is 50 km/h and the speed of the second car is 60 km/h. The number of hours it takes for the distance between the two cars to be 20 km is _________.

**Note:** This was Numerical Type question.

**(A)** 1

**(B)** 2

**(C)** 3

**(D)** 6

**Answer:** **(B)** **Explanation:** Given two cars at the same time from the same location and go in the same direction with speed of 50 km/h and 60 km/h.

Therefore, after 1 hour,

distance traveled by first car (with speed of 50 km/h) = 50*1 = 50 km And, distance traveled by second car (with speed of 60 km/h) = 60*1 = 60 km So, distance between these cars = 60 - 50 = 10 km

After 2 hour,

distance traveled by first car (with speed of 50 km/h) = 50*2 = 100 km And, distance traveled by second car (with speed of 60 km/h) = 60*2 = 120 km So, distance between these cars = 120 - 100 = 20 km

**Alternative way:**

→ (distance traveled by second car) - (distance traveled by first car) = 20 km → (S_{2}*T) - (S_{1}*T) = 20 → (60*T) - (50*T) = 20 → 10*T = 20 → T = 2

Therefore, option (B) is correct.

Quiz of this Question

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