Question
A train covers a distance of 80 km at the speed of 55
km/h the next 50 km distance covers with a speed of 40 km/h and last 60 km with the speed of 80 km/h find the average speed of the train?Solution
Since the train covers different distance with different speeds. So, Average speed = Total Distance/Total Time Total distance = 80 + 50 + 60 = 190 km Time1 = 80/55, Time2 = 50/40 & Time3 = 60/80 Total Time = 80/55 + 50/40 + 60/80 Therefore, Average Speed = 190/(80/55 + 50/40 + 60/80) = 55 km/hr
Find the simplified value of:
(tan 40 º + tan 20 º )/(1 - tan 40 º tan 20 º)
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