# Running Back And Forth

Algebra Level 4

There is a $$50 \text{m}$$ long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position. In the mean time the whole platoon has moved ahead by $$50 \text{m}$$.

How much distance did the last person cover in that time? Write your answer to two decimal places.

Details and Assumptions:

• The speed at which the platoon marches is constant.

• The speed at which the person runs is constant.

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