A car leaves an intersection traveling west. Its position 4 sec later is 21 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 30 ft from the intersection. If the speeds of the cars at that instant of time are 8 ft/sec and 14 ft/sec, respectively, find the rate at which the distance between the two cars is changing.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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A car leaves an intersection traveling west. Its position 4 sec later is 21 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 30 ft from the intersection. If the speeds of the cars at that instant of time are 8 ft/sec and 14 ft/sec, respectively, find the rate at which the distance between the two cars is changing. 

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