in a 500 m race, the ratio of the speeds of two contestants a and b is 3: 4. a has a start of 170 m. then, a wins by: Choose the correct choice from the following choices
A) 60 m
B) 20 m
C) 43 m
D) 20 m
E) 23 m
<gadget id="calculator">500 - 170</gadget>
<output>330</output>

<gadget id="calculator">330 * 4</gadget>
<output>1_320</output>

<gadget id="calculator">1_320 / 3</gadget>
<output>440</output>

<gadget id="calculator">500 - 440</gadget>
<output>60</output>

<result>A</result>
in a 500 m race, the ratio of the speeds of two contestants a and b is 3: 4. a has a start of 170 m. then, a wins by:
subtract(500, divide(multiply(subtract(500, 170), 4), 3))
"to reach the winning post a will have to cover a distance of ( 500 - 170 ) m , i . e . , 330 m . while a covers 3 m , b covers 4 m . while a covers 330 m , b covers 4 x 330 / 3 m = 440 m . thus , when a reaches the winning post , b covers 440 m and therefore remains 60 m behind . a wins by 60 m . answer : a"