Question
A man covered a total distance of 360 kilometers.
Initially, he traveled 200 kilometers by car at a speed of 25 km/h. He completed the remaining journey on a bike, traveling at a speed that was 5 km/h slower than the car's speed. Calculate his average speed for the entire trip.Solution
Total time taken to cover the whole journey = 200/25 + 160/20 = 8 + 8 = 16 km Desired average speed = 360/16 = 45/2 = 22.5 km/h
If n(A) = 25, n(B) = 40 and n(A ∪ B) = 50, then n(A ∩ B) equals
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