How long did it take Piglet to reach Pooh’s house from the time he left his own house?Winnie the Pooh and piglet decided to visit one another and set off at the same time to each other's house....

How long did it take Piglet to reach Pooh’s house from the time he left his own house?

Winnie the Pooh and piglet decided to visit one another and set off at the same time to each other's house. When they met on the road joining their houses, they forgot that they wanted to see each other and continued walking. Winnie-the-Pooh reached Piglet’s house 8 mins after the meeting and Piglet got to Pooh’s house 18 mins after the meeting. How long did it take Piglet to reach Pooh’s house from the time he left his own house? 

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lfryerda's profile pic

lfryerda | High School Teacher | (Level 2) Educator

Posted on

Let x be the distance from the meeting place to Pooh's house and let y be the distance from the meeting place to Piglet's house.

Now speed, time and distance are related by the formula `v=d/t`, which may be rearranged to have time `t=v cdot d`. If Piglet's speed is `v_p` and Winnie's speed is `v_w`, then `v_p=x/{18}` and `v_w=y/8`.

Now Winnie and Piglet both left their houses at the same time, so the time they took to get to the meeting place we will call t.  This means that `v_p=y/t` and `v_w=x/t`.  These times are equal which gives `y/v_p=x/v_w`.

Substituting for x and y gives the equation `{8v_w}/v_p={18v_p}/v_w` .  Rearranging, we find the ratio `(v_w/v_p)^2={18}/8` , and then take square roots to get `v_w/v_p=3/2`.  This means Winnie walks 1.5 times faster than Piglet.  So if Winnie took 8 minutes to walk the distance from the meeting place to Piglet's house, then Piglet will take 12 minutes to cover the same distance.  The total time that Piglet needs to take to go from his house to Winnie's house is 12 minutes plus the other 18 minutes.

Piglet takes 30 minutes to reach Pooh's house.

jfloz's profile pic

jfloz | Student, Grade 9 | (Level 1) eNoter

Posted on

If x is the distance from the meeting place to Poohs house and y is the distance from meeting place to piglets house would it not  take Piglet 43 mins to get to Poohs house????   

 

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