Two groups of friends are taking taxis to a party in Yardley. The first taxi leaves from the financial district and travels at 33 miles per hour. At the same time, the other taxi leaves from the marina and travels 45 miles per hour. The two taxis are 5 miles apart and heading directly toward each other. How much time will it take for the taxis meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. Two groups of friends are taking taxis to a party in Yardley. The first taxi leaves from the financial district and travels at 33 miles per hour. At the same time, the other taxi leaves from the marina and travels 45 miles per hour. The two taxis are 5 miles apart and heading directly toward each other. How much time will it take for the taxis meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate combined speed: Calculate the combined speed of the two taxis.Speed of first taxi: 33 miles per hourSpeed of second taxi: 45 miles per hourCombined speed = Speed of first taxi + Speed of second taxiCombined speed =33+45Combined speed =78 miles per hour
Calculate meeting time: Calculate the time it will take for the taxis to meet.Distance between the taxis: 5 milesCombined speed of the taxis: 78 miles per hourTime = Distance / SpeedTime =5 miles /78 miles per hourTime hickapprox0.0641 hours
Convert time to minutes: Convert the time from hours to minutes.Time in hours: 0.0641 hoursMinutes in an hour: 60Time in minutes = Time in hours × Minutes in an hourTime in minutes = 0.0641×60Time in minutes ≈3.846 minutesSince we need to round to the nearest minute, the time is approximately 4 minutes.