SOLUTION: Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mou

Question 1177756: Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).
Can someone explain step by step approach to solving this problem?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).
let the speed in still air be x
tailwind of 2 km/ h,
Forward effective speed =( x+2) km/h
Time taken to reach bald mountain = 6 hours
Distance= speed * time = 6(x+2) km
But she finds the broom 40 km before
So that distance is 6(x+2)-40
Actual distance with tailwind/speed
=
Return speed = (x-2) km/h
Return time =

Solve for x
x=18
18km/h in still water

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