Arithmetic

Time, Speed & Distance

Medium

applied

In a race of 800 m, A beats B by 80 m and in a race of 600 m, B beats C by 40 m. Then A will beat C in a race of 1000 m by :

120 m

150 m

160 m

172 m

✅ Correct Option: 3

$A:B=800:720=10:9$ and $B:C=600:560=15:14$ .

So $A:C=10\times 15 : 9\times 14 = 150:126 = 25:21$ .

When A runs 1000 m, C runs $1000\times\dfrac{21}{25}=840$ m, so A wins by 160 m.

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Solution

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