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CBSE Class 8 Answered

a train travels 360 km at a uniform speed. if the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. find the speed of the ratio ?
Asked by susanta.rkl | 31 Aug, 2018, 10:41: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let comma
the space speed space of space the space train space equals space straight x space km divided by hr
rightwards double arrow time space taken space to space cover space 360 space km equals space distance over speed space equals space 360 over straight x
According space to space the space condition comma

open parentheses straight x space plus space 5 close parentheses open parentheses 360 over straight x space minus space 1 close parentheses equals space 360 space space space space........ since comma space distance space equals space speed space cross times time
rightwards double arrow 360 space minus space straight x space plus space 1800 over straight x space minus space 5 space equals space 360
rightwards double arrow negative straight x squared space plus space 1800 space equals space 5 straight x
rightwards double arrow straight x squared space plus space 5 straight x space minus space 1800 space equals space 0
rightwards double arrow open parentheses straight x space plus space 45 close parentheses open parentheses straight x space minus space 40 close parentheses space equals space 0
rightwards double arrow straight x space equals space minus 45 space or space straight x space equals space 40
Speed space can apostrophe straight t space be space negative.
rightwards double arrow speed space of space the space train space is space 40 space km divided by hr.


end style
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