SOLUTION: A cattle train left Abuja and traveled toward the outer-most station. A diesel train left 13 hours later traveling 65 km/h faster in an effort to catch up to it. After three hours

Question 1122474: A cattle train left Abuja and traveled toward the outer-most station. A diesel train left 13 hours later traveling 65 km/h faster in an effort to catch up to it. After three hours the diesel train finally caught up. What was the cattle train's average speed.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

SPEED TIME DISTANCE CATTLE r 16 d DIESEL r+65 3 d DIFFERENCE 13

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Let x be the cattle train average speed (the value under the question. Then the diesel train speed is (x+65) km/h, according to the condition. The cattle train was on the way for 13+3 = 16 hours and covered the distance of 16*x kilometers The diesel train was on the way for 3 hours and covered the distance of 3*(x+65) kilometers. The distance is the same, which gives you an equation 3*(x+65) = 16*x kilometers. 3x + 3*65 = 16x 3*65 = 16x - 3x 3*65 = 13x ====> x = = 3*5 = 15. Answer. The cattle train average speed was 15 km/h.

Solved.

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