Question

3. Stacey, Carla, Julia and Rose want to take seats in a cinema. There is only 1 aisle seat and the rest are in a line next to it. If Rose wants to sit in the aisle seat, Julia wants to sit next to Stacey, and Carla doesn’t want to sit next to Julia, how will they sit (starting at the aisle)?

4. Peter is skiing. With every minute that passes, he doubles his speed. If Peter starts at 1 mile/minute, how fast will he be going after 5 minutes?

Please show work, Thank you.

Answer 1

3)The first person to sit is Rose and there are 3 seats remaining , but Carla and Julie doesn't want to sit together ,so Stacey will be between them.

Also , Julia wants to sit next to Stacey so the final order will be Rose-Carla-Stacey-Julia.

4)Speed of Peter increases in a geometric progression given as 2x where x is speed of vechile in the previous minute.

So the progression is given as 1,2,4,8,16,32 and so on.

Then the speed of Peter after 5th minute will be 16 miles/minute