# Sisters

Sisters Hanka and Vera goes mostly tograndmother by bicycle. Journey took Hanka 30 minutes and Vera 20 minutes. How long will Vera catch up with Hanka when started from home five minutes later than Hanka?

Correct result:

t =  10 min

#### Solution:

$v_1 = \dfrac{s}{ 30} \ \\ v_2 = \dfrac{s}{ 20} \ \\ v_1(t+5)=v_2t \ \\ \dfrac{s}{ 30}(t+5)=\dfrac{s}{ 20} t \ \\ (t+5)/30 = t/20 \ \\ t = 10 \ \text{min}$

(t+5)/30 = t/20

t = 10

t = 10

Calculated by our simple equation calculator.

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