SSC CHSL 2025 · PYQ · Time, Speed and Distance · medium
A motorist travels from City P to City Q, a distance of 234 km. For the first 78 km, he drives at 52 km/h. For the next 78 km he drives at 39 km/h. For the remaining distance, he drives at x km/h (constant). His overall average speed for the whole trip is 46.8 km/h. What is x?
A.65 km/h✓ Correct
B.72 km/h
C.52 km/h
D.60 km/h
Explanation
Total time = 234/46.8 = 5 hours. Time for first 78 km = 78/52 = 1.5 hrs. Time for next 78 km = 78/39 = 2 hrs. Remaining time = 5 − 1.5 − 2 = 1.5 hrs. Remaining distance = 78 km. x = 78/1.5 = 52 km/h. Rechecking: answer should be 52 km/h, option (d).
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