Duncan went for a hike on Wednesday at camp. The hike took 45 minutes. As soon as he got back, Duncan played volleyball for 1 hour and 5 minutes. It was 9:25 A.M. when Duncan finished playing volleyball. What time did Duncan start his hike?
Question
Duncan went for a hike on Wednesday at camp. The hike took 45 minutes. As soon as he got back, Duncan played volleyball for 1 hour and 5 minutes. It was 9:25 A.M. when Duncan finished playing volleyball. What time did Duncan start his hike?
Solution
To find out when Duncan started his hike, we need to add the time he spent hiking and playing volleyball, and then subtract that from the time he finished playing volleyball.
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Convert all the times to the same unit. In this case, it's easier to use minutes. 1 hour is 60 minutes, so playing volleyball for 1 hour and 5 minutes is the same as playing for 65 minutes.
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Add the time spent hiking and playing volleyball. Duncan hiked for 45 minutes and played volleyball for 65 minutes, so he spent a total of 45 + 65 = 110 minutes.
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Convert the end time to minutes past midnight. 9:25 A.M. is the same as 565 minutes past midnight (9 hours after midnight is 540 minutes, plus 25 minutes).
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Subtract the total activity time from the end time to find the start time. Duncan finished his activities 565 minutes past midnight and spent 110 minutes on them, so he must have started at 565 - 110 = 455 minutes past midnight.
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Convert the start time back to hours and minutes. 455 minutes is 7 hours and 35 minutes, so Duncan started his hike at 7:35 A.M.
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