SOLUTION: A train travels 250 km at the speed of 60 km/hr and arrives ten minutes later than schedule. At what speed (in km/hr) should it travel to arrive exactly on time ?

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Question 1125616: A train travels 250 km at the speed of 60 km/hr and arrives ten minutes later than schedule. At what speed (in km/hr) should it travel to arrive exactly on time ?
Found 3 solutions by Alan3354, josmiceli, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A train travels 250 km at the speed of 60 km/hr and arrives ten minutes later than schedule. At what speed (in km/hr) should it travel to arrive exactly on time ?
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Find the travel time at 60 km/hr.
Convert to minutes.
Subtract 10 minutes.
Find the speed using the smaller time.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed to arrive on time
Let +t+ = the time to arrive on schedual
覧覧覧覧覧覧
(1) +250+=+s%2At+
(2) +250+=+60%2A%28+t+%2B+10%2F60+%29+
覧覧覧覧覧覧覧覧-
(2) +250+=+60t+%2B+10+
(2) +60t+=+240+
(2) +t+=+4+
And
(1) +250+=+s%2A4+
(1) +s+=+62+.5+
The train should travel 62.5 km/hr
覧覧-
Check:
(2) +250+=+62.5%2At+
(2) +t+=+4+
OK

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
A train travels 250 km at the speed of 60 km/hr and arrives ten minutes later than schedule. At what speed (in km/hr) should it travel to arrive exactly on time?
Time taken to travel 250 km at 60 km/h:  
Since arrival time was 10 minutes later than schedule then to be on time, time should be 4 hrs (matrix%281%2C4%2C+4%261%2F6%2C+hours%2C+-+10%2C+minutes%29)
We then get the speed it needs to travel to be on-time as: highlight_green%28matrix%281%2C4%2C+250%2F4%2C+%22=%22%2C+62.5%2C+%22km%2Fh%22%29%29