Three cars A B and C started from a point at 5 pm 6 pm and 7 pm respectively and travelled at unifor...........

Quantitative Aptitude (CDS) Time & distance

Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?

120

110

105

100

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Explanation:

Distance covered by A till 6pm = 60 km
Distance covered by A till 7 pm = 120 km
Time taken by B to catch A = 60/(80-60 ) = 3 hrs
So A and B will meet at 6pm + 3 hrs = 9pm
Since we know that all three met at the same time
The time taken by C to cover 120 km difference will be = 9pm – 7pm = 2hrs
Therefore, (x – 60 )*2 = 120
x = 120 km/hr