SOLUTION: Jamill walks a distance that is 1/4 more than Jacob. Jacob uses 1/10 more time than Jamill. What is the ratio of the speeds of Jamill and Jacob?

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Question 1164102: Jamill walks a distance that is 1/4 more than Jacob. Jacob uses 1/10 more time than Jamill. What is the ratio of the speeds of Jamill and Jacob?
Answer by ikleyn(52775) About Me  (Show Source):
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Let Jamill's distance be d and Jamill's time be t.


Let Jacob's distance be x  and Jacob's time be y.



Then  d = x + x/4 = %285%2F4%29%2Ax,  and  y = %2811%2F10%29%2At.


It implies  x = %284%2F5%29%2Ad.


Then Jamill's speed is  d%2Ft,  while the Jacob' speed is  x%2Fy = %28%284%2F5%29%2Ad%29%2F%28%2811%2F10%29%2At%29 = %28%284%2A10%29%2Ad%29%2F%28%285%2A11%29%2At%29 = %2840%2F55%29%2A%28d%2Ft%29.


Therefore, the ratio of the Jamill' speed to that of Jacob is  40%2F55%29 = 8%2F11.    ANSWER

Solved.