A train traveled p kms in 40 minutes and completed the remaining 200 kms of the trip in q minutes. What was its average speed, in km per hour for the entire trip?
To find the average speed for the entire trip, we can use the formula for average speed:
Average Speed = Total Distance / Total Time
In this case, the train traveled "p" kilometers in 40 minutes and completed the remaining 200 kilometers in "q" minutes. We need to convert the times to hours because the speed should be in km per hour.
1 minute = 1/60 hour
So, the train traveled the first part in 40/60 hours and the remaining part in q/60 hours.
Now, we can calculate the average speed:
Average Speed = [p + 200] kilometers / [40/60 + q/60] hours
Average Speed = [p + 200] kilometers / [(40 + q)/60] hours
To simplify further, we can multiply the numerator and denominator by 60:
Average Speed = [60(p + 200)] kilometers / (40 + q) hours
So, the average speed for the entire trip is:
Average Speed = [60(p + 200)] / (40 + q) km per hour.
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