SOLUTION: A man travels from his home to visit his brother who live 250km away. He travels at 100km/h A) How long did the Journey take? B) If he returns at x km/h, how long does it

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Question 720895: A man travels from his home to visit his brother who live 250km away. He travels at 100km/h


A) How long did the Journey take?
B) If he returns at x km/h, how long does it take?
C) If the return trip took 50 minutes less, at what speed was he traveling on the return journey?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+d+=+r%2At+
(A)
+t+=+d%2Fr+
+t+=+250+%2F+100+
+t+=+2.5+ hrs
(B)
+2.5+%2B+d%2Fr+
+2.5+%2B+250%2Fx+
(C)
+250%2Fx+=+2.5+-+50%2F60+ ( note: 50 min = 50/60 hrs )
+250%2Fx+=+2.5+-+5%2F6+
Multiply both sides by +6x+
+6%2A250+=+2.5%2A6x+-+5x+
+15x+-+5x+=+1500+
+10x+=+1500+
+x+=+150+
His speed returning was 150 km/hr