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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» <html><body><p></p>Solution :Time taken in covering 25 miles at a <a href="https://interviewquestions.tuteehub.com/tag/speed-1221896" style="font-weight:bold;" target="_blank" title="Click to know more about SPEED">SPEED</a> of 30 mph <br/>`"=50 minutes" (.:' "Time"="Distance"/"Speed")"` <br/> Time taken in covering 50 miles at a speed of <a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a> mph <br/> = 75 minutes <br/> Distance <a href="https://interviewquestions.tuteehub.com/tag/covered-2552266" style="font-weight:bold;" target="_blank" title="Click to know more about COVERED">COVERED</a> in 6 minutes at a speed of 10 mph = 1 mile <br/> Time taken in covering <a href="https://interviewquestions.tuteehub.com/tag/24-295400" style="font-weight:bold;" target="_blank" title="Click to know more about 24">24</a> miles at speed of 24 mph = 60 minutes. <br/> Therefore, <a href="https://interviewquestions.tuteehub.com/tag/taking-1238585" style="font-weight:bold;" target="_blank" title="Click to know more about TAKING">TAKING</a> the time taken as weights we have the weighted mean as: <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TRJ_ECO_XI_C09_S01_023_S01.png" width="80%"/><br/> Weighted Mean, `barX_(W)=(sumWX)/(sumW)=(6,000)/(191)=31.41` <br/> Average Speed = 31.41 mph.</body></html>


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