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
→ (S2*T) - (S1*T) = 20
→ (60*T) - (50*T) = 20
→ 10*T = 20
→ T = 2
Therefore, option (B) is correct.
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Last Updated :
13 Feb, 2019
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