A train runs 25 miles at a speed of 30 mph, another 50 miles at a speed of 40 mph, then due to repairs of the track travels for 6 minutes at a speed of 10 mph and finally covers the remaining distance of 24 miles at a speed of 24 mph. What is the average speed in miles per hour?

A train runs 25 miles at a speed of 30 mph, another 50 miles at a spee

1.	A train runs 25 miles at a speed of 30 mph, another 50 miles at a speed of 40 mph, then due to repairs of the track travels for 6 minutes at a speed of 10 mph and finally covers the remaining distance of 24 miles at a speed of 24 mph. What is the average speed in miles per hour?
Answer» Solution :Time taken in covering 25 miles at a SPEED of 30 mph `"=50 minutes" (.:' "Time"="Distance"/"Speed")"` Time taken in covering 50 miles at a speed of 40 mph = 75 minutes Distance COVERED in 6 minutes at a speed of 10 mph = 1 mile Time taken in covering 24 miles at speed of 24 mph = 60 minutes. Therefore, TAKING the time taken as weights we have the weighted mean as: Weighted Mean, `barX_(W)=(sumWX)/(sumW)=(6,000)/(191)=31.41` Average Speed = 31.41 mph.