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Two trains, one travelling 15 km/hr faster than the other, leave the same station at thesame time, one travelling east and the other west. At the end of 6 hours they are570 km apart. What are the speeds of each train?LINEAR COLLATIONS155 |
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Answer» Speed of slower train=xSpeed of faster train = x + 156{x +(x+15)}=570 speed units km/h 6 is hours, so distance will be km.divide by 6 and collect terms(2x+15)=95subtract 15 from both sides2x=80divide by 2x=40 km/h (slower)x+15= 55 km/h (faster)6 hoursslower train 6*40=240 kmfaster train 5+55=330Total is sum, or 570. |
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