Two SUV cars start at the same time from Patna and Gaya which are 110 km apart If the two cars trave...........

Quant (SSC) Time & distance

Two SUV cars start at the same time from Patna and Gaya, which are 110 km apart. If the two cars travel towards each other, they meet after one hour and if they travel in the same direction, the car from Patna overtakes the car from Gaya after 11 hours. What is the speed of the car starting from Gaya?

60 kmph

40 kmph

50 kmph

30 kmph

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Explanation:

Let the speed of the car from Patna be x and the speed of the car from Gaya be y.
Then, 110 / x + y = 1
So, x + y = 110 ....(i)
And, 110 /x - y = 11
∴ x – y = 10 ....(ii)
From equation (i) and (ii), we get
x = 60 kmph, y = 50 kmph
So, the speed of car from Gaya = 50 kmph