Two friends, Zeke and Marshall, are going to depart from their houses and ride their bikes toward each other until they meet, and then have a picnic. Zeke can bike 15 kilometers per hour, while Marshall can bike 17 kilometers per hour. If their houses are connected by a straight road that is 8 kilometers long, in how long will the two meet? If necessary, round your answer to the nearest minute. ____ hours and ____ minutes

Question

Two friends, Zeke and Marshall, are going to depart from their houses and ride their bikes toward each other until they meet, and then have a picnic. Zeke can bike 15 kilometers per hour, while Marshall can bike 17 kilometers per hour. If their houses are connected by a straight road that is 8 kilometers long, in how long will the two meet? If necessary, round your answer to the nearest minute.   ____ hours and ____ minutes

Bytelearn · Accepted Answer

Find Combined Speed: We need to find the combined speed of Zeke and Marshall when they bike towards each other. Speed of Zeke: 15 kilometers per hour Speed of Marshall: 17 kilometers per hour Combined speed = Speed of Zeke + Speed of Marshall Combined speed = 15 + 17 = 32 kilometers per hourCalculate Meeting Time: Now, we need to calculate the time it will take for them to meet. Distance between their houses: 8 kilometers Combined speed: 32 kilometers per hour Time = Distance / Speed Time = 8 / 32 Time = 0.25 hoursConvert Time to Minutes: We need to convert the time from hours to minutes. Time in hours: 0.25 hours Minutes in an hour: 60 Time in minutes = Time in hours × Minutes in an hour Time in minutes = 0.25 × 60 Time in minutes = 15 minutesFinal Meeting Time: Since 0.25 hours is less than one hour, we have 0 hours and 15 minutes as the time it will take for Zeke and Marshall to meet.

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