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CBSE Class 10 Answered

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.  
Asked by mirajahir89 | 09 Oct, 2020, 12:05: PM
answered-by-expert Expert Answer
Let u be initial speed in km/hr .
 
Time spent to travel 360 km = ( 360 / u ) hr
 
Time spent to travel 360 km , if speed is ( u + 5 ) km/hr = 360 / ( u+5) hr
 
we have,
 
begin mathsize 14px style 360 over u minus space fraction numerator 360 over denominator u plus 5 end fraction space equals space 48 space m i n space equals space 4 over 5 space h r end style
 
begin mathsize 14px style fraction numerator 5 cross times 360 over denominator u space left parenthesis space u space plus space 5 space right parenthesis end fraction space equals space 4 over 5 end style
 
u ( u + 5 ) = 2250
 
u2 + 5u - 2250 = 0
 
By solving above quadratic equation , we get u = 45 km/hr
Answered by Thiyagarajan K | 14 Oct, 2020, 11:09: PM
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