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Secondary SchoolMath 5+3 pts

Train R takes 5 hours less than train S for covering a distance of 750km . If the average speed of train R is 25km/h more than that of train S , find the average speeds of both the trains.

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GauravSaxena01

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Answer:

r = the common speed of train R

r>0

s = the common speed of train S,

s>0

the average speed of train R is 25 km/hr over that of the train S

r = 25 + s

since avgrage speed = distance/time

=> time = distance/avg.speed

train R takes 5 hours but train S for covering a distance of 750 km/h

750/r = 750/s - 5

plug r = 25 + s into the last equation

750/(25 + s) = 750/s - 5

by resolution we discover and contemplate the positive roots

s = 50 km/hr

Average speeds of both train is 50km/hr

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