Two elevators open their doors at the same time. Kathleen boards the first one, which is going up at 800 feet per minute. The person next to her, Dominic, boards the second one, which is going down at 840 feet per minute. In how long will Kathleen and Dominic be 1,300 feet apart? If necessary, round your answer to the nearest second. ____ minutes and ____ seconds

Question

Two elevators open their doors at the same time. Kathleen boards the first one, which is going up at 800 feet per minute. The person next to her, Dominic, boards the second one, which is going down at 840 feet per minute. In how long will Kathleen and Dominic be 1,300 feet apart? If necessary, round your answer to the nearest second.   ____ minutes and ____ seconds

Bytelearn · Accepted Answer

Given Elevator Speeds: We have: Speed of Kathleen's elevator: 800 feet per minute (going up) Speed of Dominic's elevator: 840 feet per minute (going down) Find the combined speed of both elevators. Speed of Kathleen's elevator + Speed of Dominic's elevator = Combined speed 800 + 840 = 1640 Combined speed: 1640 feet per minuteCalculate Combined Speed: Combined speed: 1640 feet per minute Identify the time taken for Kathleen and Dominic to be 1,300 feet apart. Round your answer to the nearest thousandth. Time = Distance / Combined speed = 1300 / 1640 ≈ 0.7927 minutesCalculate Time Apart: Time taken: 0.7927 minutes Identify the number of minutes and seconds. Round your answer to the nearest second. In 0.7927, the number of whole minutes is 0. 0.7927 × 60 seconds = 47.562 seconds ≈ 48 seconds So, it will be 0 minutes and 48 seconds before Kathleen and Dominic are 1,300 feet apart.

Full solution

More problems from Rate of travel: word problems

Related topics