Question : A car starts at 3 pm at a speed of 50 km/hr. Another car follows it at 4 pm at a speed of 75 km/hr. At what time will the two cars meet?
Option 1: 6 pm
Option 2: 5 pm
Option 3: 7 pm
Option 4: 8 pm
Correct Answer: 6 pm
Solution :
Distance covered by 1st car in 1 hour = 50 km
Relative speed of car = 75 – 50 = 25 km/hr
Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{50}{25}$ = 2 hours
Since the 2nd car started at 4 p.m., it will meet the 1st car after 2 hours, at (4 pm + 2 hours) = 6 pm
Hence, the correct answer is 6 pm.
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