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CBSE Class 10 Answered

6. A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average speed of 6 km/h more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed?
Asked by love.darcy21 | 06 Mar, 2019, 10:10: AM
answered-by-expert Expert Answer
let speed for 54 km is x km /hr
for next 63 km, (x + 6)km/hr
total distance = 117 km
time = 3hrs
54 over straight x plus fraction numerator 63 over denominator straight x plus 6 end fraction equals 3 54 open parentheses straight x plus 6 close parentheses plus 63 straight x equals 3 open parentheses straight x close parentheses open parentheses straight x plus 6 close parentheses 54 straight x plus 324 space plus space 63 straight x equals 3 straight x squared plus 18 straight x 3 straight x squared minus 99 straight x minus 324 equals 0 straight x squared minus 33 straight x minus 108 equals 0 using space fromula straight x equals 36
Answered by Arun | 06 Mar, 2019, 10:50: AM

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