The kwon family has a rainwater catchment system they use to water their garden. the storage tank is 72 inches deep. three hours after the rain started, the depth of water in the tank was 36 inches. after 5 hours, the depth was 58 inches. if the rain continues to fall at the same rate, how many hours will it take to fill the tank? round your answer to the nearest tenth of an hour. hours

Question

Kaylen Frost

Mathematics

7 November, 14:59

The kwon family has a rainwater catchment system they use to water their garden. the storage tank is 72 inches deep. three hours after the rain started, the depth of water in the tank was 36 inches. after 5 hours, the depth was 58 inches. if the rain continues to fall at the same rate, how many hours will it take to fill the tank? round your answer to the nearest tenth of an hour. hours

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Answers (1)

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Anya Barron · Answer 1

The tank is filling at the rate of (58-36) in / (5-3 h) = 22/2 = 11 in/h.

72-58 = 14 inches more to fill

The remaining 14 inches will be filled in

14 / 11 = 1.27, round to 1.3 hours

so total time would be 5 + 1.3 = 6.3 hours