The Top of The Tree

Algebra Level pending

John is climbing a tree. He climbs at a rate of 5.2 ft per minute. However, every time he climbs for 5 minutes, he takes a 1 minute rest.

How tall is the tree if he takes 1.5 hours to get to the top?

468 400 385 390

Kabir Bagai by Kabir Bagai , 21, USA

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1 solution

Tom Engelsman
Mar 27, 2021

Every six minutes, John climbs ( 5.2 ) ( 5 ) + ( 0 ) ( 1 ) = 26 (5.2)(5) + (0)(1) = 26 feet. There are 90 min ⁡ 6 min ⁡ = 15 \frac{90 \min}{6 \min} = 15 climbing intervals during this exercise, which means he climbs a total of ( 26 ) ( 15 ) = 390 (26)(15) = \boxed{390} feet.

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